Wei, Shihshu Walter; Li, Jun-Fang; Wu, Lina \(p\)-parabolicity and a generalized Bochner’s method with applications. (English) Zbl 07919687 Matematica 3, No. 3, 1162-1197 (2024). MSC: 53C43 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bianca, Vincenzo; Pimentel, Edgard A.; Urbano, José Miguel Improved regularity for a Hessian-dependent functional. (English) Zbl 07910789 Proc. Am. Math. Soc. 152, No. 10, 4393-4403 (2024). MSC: 35B65 35J35 49N60 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, Arunima; Wall, Jeremy Hessian estimates for the Lagrangian mean curvature flow. (English) Zbl 07906099 Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 201, 24 p. (2024). MSC: 35B45 35J15 35J60 53A10 53D12 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi; Ma, John Man Shun Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. (English) Zbl 07905995 Trans. Am. Math. Soc. 377, No. 9, 6151-6170 (2024). MSC: 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, XingChen Notes on generalized special Lagrangian equation. (English) Zbl 07897401 Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 197, 28 p. (2024). MSC: 35B45 35B65 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xiaoli; Li, Jiayu; Sun, Jun Gradient flow for \(\beta\)-symplectic critical surfaces. (English) Zbl 07896316 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1083-1116 (2024). MSC: 53E10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wang, Chong; Huang, Rongli; Bao, Jiguang On the second boundary value problem for a class of fully nonlinear flow. III. (English) Zbl 07879419 J. Evol. Equ. 24, No. 3, Paper No. 52, 38 p. (2024). MSC: 35J25 35J60 53A10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiang; Sun, Jun Eternal solutions to almost calibrated Lagrangian and symplectic mean curvature flows. (English) Zbl 07852380 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127804, 13 p. (2024). Reviewer: John Urbas (Canberra) MSC: 53E10 53D12 53C38 53E50 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Weiping; Liu, Jun; Li, Weijia Dynamics of the closed hypersurfaces in central force fields. (English) Zbl 07850202 Math. Ann. 389, No. 2, 1351-1403 (2024). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53E99 53C42 35R01 37D40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoliang; Wang, Cong On the exterior Dirichlet problem for Hessian-type fully nonlinear elliptic equations. (English) Zbl 1540.35187 Commun. Contemp. Math. 26, No. 4, Article ID 2250082, 29 p. (2024). MSC: 35J60 35J25 35D40 35A01 35A02 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi; Warren, Micah Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume. (English) Zbl 07822935 J. Differ. Geom. 126, No. 1, 65-97 (2024). Reviewer: Jean-Philippe Chassé (Zürich) MSC: 53D12 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Xiang; Bao, Jiguang Existence and asymptotic behavior of entire large solutions for Hessian equations. (English) Zbl 1534.35161 Commun. Pure Appl. Anal. 23, No. 2, 253-268 (2024). MSC: 35J60 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Shu-Cheng; Han, Yingbo; Wu, Chin-Tung Legendrian mean curvature flow in \(\eta\)-Einstein Sasakian manifolds. (English) Zbl 07805301 J. Geom. Anal. 34, No. 3, Paper No. 89, 35 p. (2024). MSC: 53E10 53C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Zhong-Wei Normal critical surfaces in \(\mathbb{C}P^2\). (English) Zbl 1536.53130 Result. Math. 79, No. 2, Paper No. 89, 23 p. (2024). Reviewer: Mihail Banaru (Smolensk) MSC: 53C42 53A05 × Cite Format Result Cite Review PDF Full Text: DOI
Duncan, Jonah A. J. Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates. (English) Zbl 1526.35162 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113396, 22 p. (2024). MSC: 35J60 58J60 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Philippis, Guido (ed.); Fraser, Ailana M. (ed.); Schulze, Felix (ed.) Partial differential equations. Abstracts from the workshop held July 23–28, 2023. (English) Zbl 1537.00021 Oberwolfach Rep. 20, No. 3, 1789-1842 (2023). MSC: 00B05 00B25 35-06 35J60 35K55 53A10 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Ilyas Uniqueness of asymptotically conical higher codimension self-shrinkers and self-expanders. (English) Zbl 1536.53182 J. Reine Angew. Math. 805, 55-99 (2023). Reviewer: Yong Wei (Hefei) MSC: 53E10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hong, Han; Saturnino, Artur B. Capillary surfaces: stability, index and curvature estimates. (English) Zbl 1540.53075 J. Reine Angew. Math. 803, 233-265 (2023). Reviewer: Abdoul Salam Diallo (Bambey) MSC: 53C40 53C42 58E05 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, Arunima; Shankar, Ravi Regularity for convex viscosity solutions of Lagrangian mean curvature equation. (English) Zbl 07761110 J. Reine Angew. Math. 803, 219-232 (2023). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 53E10 53C21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi; Shankar, Ravi; Yuan, Yu Regularity for convex viscosity solutions of special Lagrangian equation. (English) Zbl 1526.35096 Commun. Pure Appl. Math. 76, No. 12, 4075-4086 (2023). MSC: 35B65 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Woongbae A new conformal heat flow of harmonic maps. (English) Zbl 1532.58008 J. Geom. Anal. 33, No. 12, Paper No. 376, 36 p. (2023). Reviewer: Ion Mihai (Bucureşti) MSC: 58E20 53E99 53C43 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Niang; Ge, Jian Quan; Zhang, Miao Miao Index estimates for free boundary \(f\)-minimal hypersurfaces. (English) Zbl 1533.53010 Acta Math. Sin., Engl. Ser. 39, No. 9, 1727-1735 (2023). Reviewer: Hang Chen (Xi’an) MSC: 53A10 53A07 53C40 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Woongbae Compactness of harmonic maps of surfaces with regular nodes. (English) Zbl 07745014 Ann. Global Anal. Geom. 64, No. 3, Paper No. 20, 25 p. (2023). MSC: 30F10 30F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duncan, Jonah A. J. Interior regularity for strong solutions to a class of fully nonlinear elliptic equations. (English) Zbl 1522.35128 Proc. Am. Math. Soc. 151, No. 10, 4341-4354 (2023). MSC: 35B65 35D35 35J15 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiayu; Zhu, Chaona A blow-up formula for stationary quaternionic maps. (English) Zbl 1530.53063 Proc. Am. Math. Soc. 151, No. 11, 4941-4948 (2023). Reviewer: Alejandro Gil-García (Hamburg) MSC: 53C26 53C43 58E12 58E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Ziwei A Liouville theorem of the 2-Hessian equation in half-space. (English) Zbl 1522.35294 J. Math. Anal. Appl. 528, No. 2, Article ID 127563, 16 p. (2023). MSC: 35J96 35B53 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Jiguang; Qiang, Jiechen; Tang, Zhongwei; Wang, Cong Interior estimates of derivatives and a Liouville type theorem for parabolic \(k \)-Hessian equations. (English) Zbl 1521.35063 Commun. Pure Appl. Anal. 22, No. 8, 2466-2480 (2023). MSC: 35B53 35B08 35B45 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zixiao; Bao, Jiguang Symmetry of solutions of minimal gradient graph equations on punctured space. (English) Zbl 1519.35132 Isr. J. Math. 255, No. 1, 81-107 (2023). MSC: 35J60 35J96 35A01 35B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Collins, Tristan C.; Gukov, Sergei; Picard, Sebastien; Yau, Shing-Tung Special Lagrangian cycles and Calabi-Yau transitions. (English) Zbl 1518.53065 Commun. Math. Phys. 401, No. 1, 769-802 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D42 14J42 14J32 32Q25 57R17 81T33 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapouleas, Nikolaos; Wiygul, David Free boundary minimal surfaces with connected boundary in the 3-ball by tripling the equatorial disc. (English) Zbl 1519.53012 J. Differ. Geom. 123, No. 2, 311-362 (2023). Reviewer: Naoya Ando (Kumamoto) MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fang, Hao; Ma, Biao; Wei, Wei A Liouville’s theorem for some Monge-Ampère type equations. (English) Zbl 1514.35251 J. Funct. Anal. 285, No. 4, Article ID 109973, 47 p. (2023). MSC: 35J96 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Qi Liouville type theorems and Hessian estimates for special Lagrangian equations. (English) Zbl 1526.35160 Math. Ann. 386, No. 1-2, 1163-1200 (2023). Reviewer: Damião J. Araújo (João Pessoa) MSC: 35J60 53C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, Arunima; Chen, Jingyi; Warren, Micah Regularity of Hamiltonian stationary equations in symplectic manifolds. (English) Zbl 1515.53079 Adv. Math. 424, Article ID 109059, 32 p. (2023). Reviewer: Abderrazek Benhassine (Monastir) MSC: 53D12 35C15 58J05 35J46 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Yunqing Classification of Willmore surfaces with vanishing Gaussian curvature. (English) Zbl 1515.53007 J. Geom. Anal. 33, No. 7, Paper No. 209, 22 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 53A05 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Siyuan On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. (English) Zbl 1514.35188 Discrete Contin. Dyn. Syst. 43, No. 7, 2561-2575 (2023). MSC: 35J60 35J25 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Xingchen Hessian estimates for saddle solutions of a special Lagrangian equation in dimension three. (English) Zbl 1512.35181 J. Differ. Equations 358, 177-187 (2023). MSC: 35J05 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zixiao; Bao, Jiguang Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2. (English) Zbl 1512.35261 Commun. Contemp. Math. 25, No. 3, Article ID 2150110, 25 p. (2023). MSC: 35J60 35C20 35B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Youmin; Zhu, Miaomiao Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds. (English) Zbl 1511.58006 Sci. China, Math. 66, No. 3, 581-600 (2023). Reviewer: Ye-Lin Ou (Commerce) MSC: 58E20 35B44 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Madnick, Jesse Free-boundary problems for holomorphic curves in the 6-sphere. (English) Zbl 1525.53027 Math. Z. 303, No. 4, Paper No. 85, 17 p. (2023). MSC: 53B35 53C55 32Q15 32Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ha Tuan Dung; Nguyen Thac Dung; Nguyen Dang Tuyen A note on \(p\)-harmonic \(\ell\)-forms on complete non-compact manifolds. (English) Zbl 1509.53072 Mediterr. J. Math. 20, No. 2, Paper No. 62, 11 p. (2023). MSC: 53C43 53C21 × Cite Format Result Cite Review PDF Full Text: DOI
Jian, Huaiyu; Tu, Xushan A Liouville theorem for the Neumann problem of Monge-Ampère equations. (English) Zbl 1511.35207 J. Funct. Anal. 284, No. 6, Article ID 109817, 52 p. (2023). MSC: 35J96 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi; Wang, Youlin; Su, Guozhen; Chen, Jincan; Su, Shanhe The general expressions of heat and work in two representations of quantum mechanics. (English) Zbl 07642814 Physica A 609, Article ID 128389, 7 p. (2023). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanqiang; Dong, Weisong; Han, Fei Interior Hessian estimates for a class of Hessian type equations. (English) Zbl 1509.35075 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 52, 15 p. (2023). Reviewer: Shi-Zhong Du (Shantou) MSC: 35B45 35B53 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiayu; Zhu, Chaona; Zhu, Miaomiao The qualitative behavior for \(\alpha \)-harmonic maps from a surface with boundary into a sphere. (English) Zbl 1514.53109 Trans. Am. Math. Soc. 376, No. 1, 391-417 (2023). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53C43 58E20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yue; Ren, Changyu Pogorelov type \(C^2\) estimates for sum Hessian equations and a rigidity theorem. (English) Zbl 1505.35235 J. Funct. Anal. 284, No. 1, Article ID 109726, 32 p. (2023). MSC: 35J96 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Assimos, Renan; Savas-Halilaj, Andreas; Smoczyk, Knut Graphical mean curvature flow with bounded bi-Ricci curvature. (English) Zbl 1509.53098 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 12, 26 p. (2023). Reviewer: Seunghyeok Kim (Seoul) MSC: 53E10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lotay, Jason D. Examples of equivariant Lagrangian mean curvature flow. (English) Zbl 1541.35300 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 475-482 (2022). MSC: 35K93 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Luo, Yong; Yin, Jiabin On energy gap phenomena of the Whitney sphere and related problems. (English) Zbl 1509.53068 Pac. J. Math. 320, No. 2, 299-318 (2022). MSC: 53C42 53C24 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbosa, Ezequiel; Conrado, Franciele Discs area-minimizing in mean convex Riemannian \(n\)-manifolds. (English) Zbl 1514.53102 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1361-1382 (2022). Reviewer: Georges Habib (Beirut) MSC: 53C42 53C23 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, John Man Shun; Muhammad, Ali; Møller, Niels Martin Entropy bounds, compactness and finiteness theorems for embedded self-shrinkers with rotational symmetry. (English) Zbl 1506.53099 J. Reine Angew. Math. 793, 239-259 (2022). MSC: 53E10 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friedrich, Alexander Concentration of small Hawking type surfaces. (English) Zbl 1505.35231 Differ. Geom. Appl. 85, Article ID 101927, 23 p. (2022). MSC: 35J93 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Rongli; Ou, Qianzhong; Wang, Wenlong On the entire self-shrinking solutions to Lagrangian mean curvature flow. II. (English) Zbl 1504.53101 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 225, 18 p. (2022). MSC: 53E10 53C24 53A35 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shankar, Ravi; Yuan, Yu Rigidity for general semiconvex entire solutions to the sigma-2 equation. (English) Zbl 1511.35161 Duke Math. J. 171, No. 15, 3201-3214 (2022). Reviewer: Peter Lindqvist (Trondheim) MSC: 35J60 35B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, Arunima Regularity for critical points of convex functionals on Hessian spaces. (English) Zbl 1501.35160 Proc. Am. Math. Soc. 150, No. 12, 5217-5230 (2022). Reviewer: Dian K. Palagachev (Bari) MSC: 35J30 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi Regularity of critical points of the volume functional for Lagrangian submanifolds. (English) Zbl 1498.35132 J. Geom. Anal. 32, No. 12, Paper No. 289, 15 p. (2022). MSC: 35B65 35D40 53C38 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Ziwei; Bao, Jiguang On the exterior problem for parabolic k-Hessian equations. (English) Zbl 1498.35328 Commun. Pure Appl. Anal. 21, No. 10, 3407-3420 (2022). MSC: 35K55 35K15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Guangbo A compactness theorem for \(SO(3)\) anti-self-dual equation with translation symmetry. (English) Zbl 1503.57032 Adv. Math. 408, Part B, Article ID 108576, 95 p. (2022). Reviewer: Sergiy Koshkin (Houston) MSC: 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiu, Hongbing Rigidity of symplectic translating solitons. (English) Zbl 1501.53060 J. Geom. Anal. 32, No. 11, Paper No. 284, 19 p. (2022). MSC: 53C24 53D05 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, Arunima A note on the two-dimensional Lagrangian mean curvature equation. (English) Zbl 1497.35194 Pac. J. Math. 318, No. 1, 43-50 (2022). MSC: 35J60 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Cong; Bao, Jiguang Liouville property and existence of entire solutions of Hessian equations. (English) Zbl 1497.35205 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113020, 18 p. (2022). MSC: 35J60 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ai, Wanjun; Zhu, Miaomiao The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds. (English) Zbl 1495.35048 Sci. China, Math. 65, No. 8, 1679-1706 (2022). MSC: 35B44 35J20 58E20 58C50 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Li Ding The adiabatic limit of Fu-Yau equations. (English) Zbl 1494.58008 Acta Math. Sin., Engl. Ser. 38, No. 7, 1255-1270 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J05 53C55 35J60 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Yan; Pan, Cen; Xiang, Ni A rigidity theorem for parabolic 2-Hessian equations. (English) Zbl 1504.35169 Proc. Am. Math. Soc. 150, No. 9, 3821-3830 (2022). MSC: 35K55 35B08 35B45 35K96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Shi-Zhong Necessary and sufficient conditions to Bernstein theorem of a Hessian equation. (English) Zbl 1497.35197 Trans. Am. Math. Soc. 375, No. 7, 4873-4892 (2022). Reviewer: Jian Lu (Guangzhou) MSC: 35J60 53C23 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Yan; Sheng, Haoyang; Xiang, Ni; Zhang, Jiannan A Pogorelov estimate and a Liouville-type theorem to parabolic \(k\)-Hessian equations. (English) Zbl 1487.35140 Commun. Contemp. Math. 24, No. 4, Article ID 2150001, 21 p. (2022). MSC: 35B53 35B45 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Longa, Eduardo Rosinato Low index capillary minimal surfaces in Riemannian 3-manifolds. (English) Zbl 1491.53011 J. Geom. Anal. 32, No. 4, Paper No. 143, 21 p. (2022). Reviewer: Ameth Ndiaye (Dakar) MSC: 53A10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Huijuan A rigidity result of spacelike \(\xi \)-submanifolds in pseudo-Euclidean spaces. (English) Zbl 1487.53020 J. Math. Anal. Appl. 511, No. 1, Article ID 125976, 13 p. (2022). MSC: 53A35 53C40 53C24 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zixiao; Bao, Jiguang Asymptotic expansion at infinity of solutions of special Lagrangian equations. (English) Zbl 1484.35200 J. Geom. Anal. 32, No. 3, Paper No. 90, 34 p. (2022). MSC: 35J60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yuchin Morse index bound for minimal two spheres. (English) Zbl 1491.53074 J. Geom. Anal. 32, No. 3, Paper No. 72, 45 p. (2022). Reviewer: Hang Chen (Xi’an) MSC: 53C42 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Datar, Ved; Jacob, Adam Hermitian-Yang-Mills connections on collapsing elliptically fibered \(K3\) surfaces. (English) Zbl 1493.53095 J. Geom. Anal. 32, No. 2, Paper No. 69, 30 p. (2022). Reviewer: Daniel Thung (Hamburg) MSC: 53C55 53C07 53C26 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck \(\alpha \)-harmonic maps. (English) Zbl 1492.53085 Adv. Math. 396, Article ID 108105, 68 p. (2022). Reviewer: Bruno Simoes (Lisboa) MSC: 53C43 58E20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Xingchen Hessian estimates to special Lagrangian equation on general phases with constraints. (English) Zbl 1478.35059 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 4, 14 p. (2022). MSC: 35B45 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jingyi; Huang, Liding On stability of the fibres of Hopf surfaces as harmonic maps and minimal surfaces. (English) Zbl 1510.53079 Trans. Am. Math. Soc. 374, No. 12, 8661-8690 (2021). Reviewer: Gabriel Eduard Vilcu (București) MSC: 53C43 53A10 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Changyu; Xiang, Changlin Regularity of \(p\)-harmonic mappings into NPC spaces. (English) Zbl 1513.58007 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 2, 633-645 (2021). MSC: 58E15 46E35 53C43 × Cite Format Result Cite Review PDF Full Text: DOI
Mi, Ling; Chen, Chuan Boundary behavior of large solutions to a class of Hessian equations. (English) Zbl 1486.35191 Asymptotic Anal. 125, No. 1-2, 187-202 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35B44 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xingxiao; Qiao, Ruina; Liu, Yangyang Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\). (English) Zbl 1483.53076 Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 863-878 (2021). MSC: 53C40 53A35 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Bhattacharya, Arunima Hessian estimates for Lagrangian mean curvature equation. (English) Zbl 1479.35501 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 224, 23 p. (2021). MSC: 35J93 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xiaoli; Li, Jiayu; Sun, Jun Gradient flow of the \({L_\beta}\)-functional. (English) Zbl 1488.53187 Commun. Math. Res. 37, No. 1, 113-140 (2021). MSC: 53C42 53E50 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Hongbing; Sun, Linlin Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space. (English) Zbl 1484.53035 J. Funct. Anal. 281, No. 9, Article ID 109189, 24 p. (2021). Reviewer: Pradip Kumar (Lucknow) MSC: 53A35 53C40 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Savas-Halilaj, Andreas Graphical mean curvature flow. (English) Zbl 1476.53015 Rassias, Themistocles M. (ed.), Nonlinear analysis, differential equations, and applications. Cham: Springer. Springer Optim. Appl. 173, 493-577 (2021). MSC: 53-02 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Smith, Graham; Stern, Ari; Tran, Hung; Zhou, Detang On the Morse index of higher-dimensional free boundary minimal catenoids. (English) Zbl 1477.53009 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 208, 44 p. (2021). Reviewer: Ameth Ndiaye (Dakar) MSC: 53A10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Jianxin; Zhou, Jie Compactness of surfaces in \(\mathbb{R}^n\) with small total curvature. (English) Zbl 1492.53009 J. Geom. Anal. 31, No. 8, 8238-8270 (2021). Reviewer: Hang Chen (Xi’an) MSC: 53A07 53C40 57R42 × Cite Format Result Cite Review PDF Full Text: DOI
Longa, Eduardo Sharp systolic inequalities for 3-manifolds with boundary. (English) Zbl 1477.53062 J. Geom. Anal. 31, No. 8, 7741-7749 (2021). MSC: 53C20 53C24 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alaee, Aghil; Lesourd, Martin; Yau, Shing-Tung Stable surfaces and free boundary marginally outer trapped surfaces. (English) Zbl 1482.53014 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 186, 27 p. (2021). Reviewer: Rafael Lopez (Granada) MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Peng Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\). (English) Zbl 1473.53086 Chin. Ann. Math., Ser. B 42, No. 3, 383-408 (2021). MSC: 53C42 53A31 58E20 53C43 53C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suen, Yat-Hin Reconstruction of holomorphic tangent bundle of complex projective plane via tropical Lagrangian multi-section. (Reconstruction of holomoprhic tangent bundle of complex projective plane via tropical Lagrangian multi-section.) (English) Zbl 1467.53090 New York J. Math. 27, 1096-1114 (2021). MSC: 53D37 14J33 53-11 14J32 53D40 14T20 32Q25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Viñado-Lereu, Francisco The curve shortening flow with density of a spherical curve in codimension two. (English) Zbl 1473.53106 J. Evol. Equ. 21, No. 2, 1119-1148 (2021). MSC: 53E10 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Guodong On the minimizers of curvature functionals in asymptotically flat manifolds. (English) Zbl 1477.53063 J. Geom. Anal. 31, No. 6, 5837-5853 (2021). MSC: 53C20 53C24 49Q10 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Hongbing A rigidity result of spacelike self-shrinkers in pseudo-Euclidean spaces. (English) Zbl 1472.53064 Chin. Ann. Math., Ser. B 42, No. 2, 291-296 (2021). MSC: 53C40 53C24 × Cite Format Result Cite Review PDF Full Text: DOI
Kapouleas, Nikolaos; Li, Martin Man-chun Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc. (English) Zbl 1478.53108 J. Reine Angew. Math. 776, 201-254 (2021). MSC: 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Chang-Yu Harmonic mappings between singular metric spaces. (English) Zbl 1469.58009 Ann. Global Anal. Geom. 60, No. 2, 355-399 (2021). MSC: 58E20 46E35 53C23 31C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Haitao; Shi, Yongxiu; Qiao, Xiaoyan Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior. (English) Zbl 1468.35078 J. Math. Anal. Appl. 503, No. 1, Article ID 125301, 24 p. (2021). MSC: 35J96 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Mingyan; Wang, Guofang; Weng, Liangjun Lagrangian surfaces with Legendrian boundary. (English) Zbl 1469.53087 Sci. China, Math. 64, No. 7, 1589-1598 (2021). MSC: 53C24 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xin, Yuanlong Singularities of mean curvature flow. (English) Zbl 1470.53005 Sci. China, Math. 64, No. 7, 1349-1356 (2021). MSC: 53-02 53E10 53E20 × Cite Format Result Cite Review PDF Full Text: DOI
Datar, Ved; Jacob, Adam; Zhang, Yuguang Adiabatic limits of anti-self-dual connections on collapsed \(K3\) surfaces. (English) Zbl 1483.14065 J. Differ. Geom. 118, No. 2, 223-296 (2021). Reviewer: Laura Pertusi (Milano) MSC: 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi; Ma, John Man Shun On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces. (English) Zbl 1466.53088 Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 75, 23 p. (2021). MSC: 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Guodong Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies. (English) Zbl 1472.53077 Sci. China, Math. 64, No. 4, 781-798 (2021). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C18 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mramor, Alexander Compactness and finiteness theorems for rotationally symmetric self shrinkers. (English) Zbl 1467.53103 J. Geom. Anal. 31, No. 5, 5094-5107 (2021). MSC: 53E10 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Devyver, Baptiste A new eigenvalue problem for free boundary minimal submanifolds in the unit ball. (English) Zbl 1475.53018 J. Geom. Anal. 31, No. 2, 1625-1645 (2021). MSC: 53A10 35P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takimoto, Kazuhiro Bernstein type theorem for the generalized parabolic 2-Hessian equation under weaker conditions. (English) Zbl 1459.35015 J. Math. Anal. Appl. 495, No. 1, Article ID 124703, 14 p. (2021). MSC: 35B08 35K55 × Cite Format Result Cite Review PDF Full Text: DOI