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Yuan, Yu

Co-Author Distance
Author ID: yuan.yu Recent zbMATH articles by "Yuan, Yu"
Published as: Yuan, Yu
Homepage: https://sites.math.washington.edu//~yuan/
External Links: MGP
Documents Indexed: 39 Publications since 1999, including 3 Additional arXiv Preprints
Co-Authors: 20 Co-Authors with 30 Joint Publications
503 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
6 Chen, Jingyi
5 Warren, Micah W.
4 Shankar, Ravi
3 Nadirashvili, Nikolai S.
2 Caffarelli, Luis Ángel
2 Chau, Albert
2 Li, Dongsheng
2 Safonov, Mikhail V.
2 Wang, Dake
1 Chang, Sun-Yung Alice
1 Ding, Weiyue
1 Drugan, Gregory
1 Fabes, Eugene B.
1 Hong, Guanghao
1 Li, Zhisu
1 Lu, Peng
1 McGonagle, Matthew
1 Nguyen, Tu-Anh
1 Ogden, W. Jacob
1 Song, Chong
1 Xu, Yingfeng
all top 5

Serials

4 Communications on Pure and Applied Mathematics
3 American Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
2 Mathematische Zeitschrift
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of Partial Differential Equations
2 Calculus of Variations and Partial Differential Equations
1 Advances in Mathematics
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Communications in Partial Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Study
1 Annals of Mathematics. Second Series
1 Analysis in Theory and Applications
1 Mathematics in Engineering
all top 5

Fields

31 Partial differential equations (35-XX)
14 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

33 Publications have been cited 506 times in 233 Documents Cited by ▼ Year ▼
A Bernstein problem for special Lagrangian equations. Zbl 1027.53055
Yuan, Yu
59
2002
Global solutions to special Lagrangian equations. Zbl 1134.35355
Yuan, Yu
50
2006
Behavior near the boundary of positive solutions of second order parabolic equations. II. Zbl 0976.35031
Fabes, E. B.; Safonov, M. V.; Yuan, Yu
40
1999
Hessian estimates for the sigma-2 equation in dimension 3. Zbl 1173.35388
Warren, Micah; Yuan, Yu
40
2009
Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions. Zbl 1288.35134
Wang, Dake; Yuan, Yu
33
2014
Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase. Zbl 1221.35081
Warren, Micah; Yuan, Yu
25
2010
Rigidity of entire self-shrinking solutions to curvature flows. Zbl 1250.53064
Chau, Albert; Chen, Jingyi; Yuan, Yu
24
2012
Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems. Zbl 1277.35125
Wang, Dake; Yuan, Yu
23
2013
A priori estimates for solutions of fully nonlinear special Lagrangian equations. Zbl 0988.35058
Yuan, Yu
22
2001
A Liouville problem for the sigma-2 equation. Zbl 1193.35041
Chang, Sun-Yung Alice; Yuan, Yu
22
2010
A priori estimate for convex solutions to special Lagrangian equations and its application. Zbl 1171.35340
Chen, Jingyi; Yuan, Yu; Warren, Micah
21
2009
Doubling properties for second order parabolic equations. Zbl 1157.35391
Safonov, Mikhail V.; Yuan, Yu
19
1999
A priori estimates for solutions of fully nonlinear equations with convex level set. Zbl 0965.35045
Caffarelli, Luis A.; Yuan, Yu
18
2000
A Bernstein problem for special Lagrangian equations in exterior domains. Zbl 1435.35140
Li, Dongsheng; Li, Zhisu; Yuan, Yu
17
2020
Hessian estimates for convex solutions to quadratic Hessian equation. Zbl 1423.35107
McGonagle, Matt; Song, Chong; Yuan, Yu
13
2019
Lagrangian mean curvature flow for entire Lipschitz graphs. II. Zbl 1277.53063
Chau, Albert; Chen, Jingyi; Yuan, Yu
11
2013
Explicit gradient estimates for minimal Lagrangian surfaces of dimension two. Zbl 1181.53042
Warren, Micah; Yuan, Yu
10
2009
A Liouville type theorem for special Lagrangian equations with constraints. Zbl 1146.35039
Warren, Micah; Yuan, Yu
9
2008
A priori estimates for Lagrangian mean curvature flows. Zbl 1227.53082
Nguyen, Tu A.; Yuan, Yu
8
2011
Hessian estimate for semiconvex solutions to the sigma-2 equation. Zbl 1433.35158
Shankar, Ravi; Yuan, Yu
7
2020
Special Lagrangian equations. Zbl 1444.35014
Yuan, Yu
5
2020
Homogeneous solutions to fully nonlinear elliptic equations. Zbl 1156.35368
Nadirashvili, Nikolai; Yuan, Yu
4
2006
Rigidity for general semiconvex entire solutions to the sigma-2 equation. Zbl 1511.35161
Shankar, Ravi; Yuan, Yu
4
2022
Maximal hypersurfaces over exterior domains. Zbl 1467.35148
Hong, Guanghao; Yuan, Yu
3
2021
Regularity for almost convex viscosity solutions of the sigma-2 equation. Zbl 1474.35212
Shankar, Ravi; Yuan, Yu
3
2021
Resolving the singularities of the minimal Hopf cones. Zbl 1101.49030
Ding, Weiyue; Yuan, Yu
3
2006
Improving Pogorelov’s isometric embedding counterexample. Zbl 1147.53017
Nadirashvili, Nikolai; Yuan, Yu
3
2008
Rigidity of complete entire self-shrinking solutions to Kähler-Ricci flow. Zbl 1326.53091
Drugan, Gregory; Lu, Peng; Yuan, Yu
3
2015
Regularity for convex viscosity solutions of special Lagrangian equation. Zbl 1526.35096
Chen, Jingyi; Shankar, Ravi; Yuan, Yu
3
2023
Minimal cones with isotropic links. Zbl 1111.53047
Chen, Jingyi; Yuan, Yu
2
2006
A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Ampère equation. Zbl 1539.35128
Yuan, Yu
2
2023
A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows. Zbl 1388.53065
Li, Dongsheng; Xu, Yingfeng; Yuan, Yu
1
2018
Singular solutions to Monge-Ampère equation. Zbl 1513.35274
Caffarelli, Luis A.; Yuan, Yu
1
2022
Regularity for convex viscosity solutions of special Lagrangian equation. Zbl 1526.35096
Chen, Jingyi; Shankar, Ravi; Yuan, Yu
3
2023
A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Ampère equation. Zbl 1539.35128
Yuan, Yu
2
2023
Rigidity for general semiconvex entire solutions to the sigma-2 equation. Zbl 1511.35161
Shankar, Ravi; Yuan, Yu
4
2022
Singular solutions to Monge-Ampère equation. Zbl 1513.35274
Caffarelli, Luis A.; Yuan, Yu
1
2022
Maximal hypersurfaces over exterior domains. Zbl 1467.35148
Hong, Guanghao; Yuan, Yu
3
2021
Regularity for almost convex viscosity solutions of the sigma-2 equation. Zbl 1474.35212
Shankar, Ravi; Yuan, Yu
3
2021
A Bernstein problem for special Lagrangian equations in exterior domains. Zbl 1435.35140
Li, Dongsheng; Li, Zhisu; Yuan, Yu
17
2020
Hessian estimate for semiconvex solutions to the sigma-2 equation. Zbl 1433.35158
Shankar, Ravi; Yuan, Yu
7
2020
Special Lagrangian equations. Zbl 1444.35014
Yuan, Yu
5
2020
Hessian estimates for convex solutions to quadratic Hessian equation. Zbl 1423.35107
McGonagle, Matt; Song, Chong; Yuan, Yu
13
2019
A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows. Zbl 1388.53065
Li, Dongsheng; Xu, Yingfeng; Yuan, Yu
1
2018
Rigidity of complete entire self-shrinking solutions to Kähler-Ricci flow. Zbl 1326.53091
Drugan, Gregory; Lu, Peng; Yuan, Yu
3
2015
Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions. Zbl 1288.35134
Wang, Dake; Yuan, Yu
33
2014
Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems. Zbl 1277.35125
Wang, Dake; Yuan, Yu
23
2013
Lagrangian mean curvature flow for entire Lipschitz graphs. II. Zbl 1277.53063
Chau, Albert; Chen, Jingyi; Yuan, Yu
11
2013
Rigidity of entire self-shrinking solutions to curvature flows. Zbl 1250.53064
Chau, Albert; Chen, Jingyi; Yuan, Yu
24
2012
A priori estimates for Lagrangian mean curvature flows. Zbl 1227.53082
Nguyen, Tu A.; Yuan, Yu
8
2011
Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase. Zbl 1221.35081
Warren, Micah; Yuan, Yu
25
2010
A Liouville problem for the sigma-2 equation. Zbl 1193.35041
Chang, Sun-Yung Alice; Yuan, Yu
22
2010
Hessian estimates for the sigma-2 equation in dimension 3. Zbl 1173.35388
Warren, Micah; Yuan, Yu
40
2009
A priori estimate for convex solutions to special Lagrangian equations and its application. Zbl 1171.35340
Chen, Jingyi; Yuan, Yu; Warren, Micah
21
2009
Explicit gradient estimates for minimal Lagrangian surfaces of dimension two. Zbl 1181.53042
Warren, Micah; Yuan, Yu
10
2009
A Liouville type theorem for special Lagrangian equations with constraints. Zbl 1146.35039
Warren, Micah; Yuan, Yu
9
2008
Improving Pogorelov’s isometric embedding counterexample. Zbl 1147.53017
Nadirashvili, Nikolai; Yuan, Yu
3
2008
Global solutions to special Lagrangian equations. Zbl 1134.35355
Yuan, Yu
50
2006
Homogeneous solutions to fully nonlinear elliptic equations. Zbl 1156.35368
Nadirashvili, Nikolai; Yuan, Yu
4
2006
Resolving the singularities of the minimal Hopf cones. Zbl 1101.49030
Ding, Weiyue; Yuan, Yu
3
2006
Minimal cones with isotropic links. Zbl 1111.53047
Chen, Jingyi; Yuan, Yu
2
2006
A Bernstein problem for special Lagrangian equations. Zbl 1027.53055
Yuan, Yu
59
2002
A priori estimates for solutions of fully nonlinear special Lagrangian equations. Zbl 0988.35058
Yuan, Yu
22
2001
A priori estimates for solutions of fully nonlinear equations with convex level set. Zbl 0965.35045
Caffarelli, Luis A.; Yuan, Yu
18
2000
Behavior near the boundary of positive solutions of second order parabolic equations. II. Zbl 0976.35031
Fabes, E. B.; Safonov, M. V.; Yuan, Yu
40
1999
Doubling properties for second order parabolic equations. Zbl 1157.35391
Safonov, Mikhail V.; Yuan, Yu
19
1999
all cited Publications top 5 cited Publications
all top 5

Cited by 229 Authors

17 Yuan, Yu
14 Nyström, Kaj
13 Warren, Micah W.
12 Bao, Jiguang
9 Chen, Jingyi
8 Li, Dongsheng
7 Liu, Zixiao
6 Bhattacharya, Arunima
5 Huang, Rongli
4 Li, Zhisu
4 Mustapha, Sami
4 Nadirashvili, Nikolai S.
4 Qiu, Hongbing
4 Vlǎduţ, Sergei Georgievich
4 Xiang, Ni
3 Avelin, Benny
3 Bonforte, Matteo
3 Chu, Jianchun
3 Collins, Tristan Clifford
3 Ding, Qi
3 Jia, Xiaobiao
3 Li, Caiyan
3 Li, Haigang
3 Litsgård, Malte
3 Safonov, Mikhail V.
3 Savas-Halilaj, Andreas
3 Shankar, Ravi
3 Silvestre, Luis E.
3 Smoczyk, Knut
3 Wang, Cong
3 Wang, Lihe
3 Wang, Zhizhang
3 Xin, Yuanlong
3 Xu, Ruiwei
3 Yang, Ling
3 Yau, Shing-Tung
3 Zhou, Xingchen
2 Argiolas, Roberto
2 Banerjee, Agnid
2 Caffarelli, Luis Ángel
2 Chau, Albert
2 Chen, ChuanQiang
2 Dai, Guowei
2 Dinew, Sławomir
2 Eberle, Simon
2 Epstein, Charles Lawrence
2 Escauriaza Zubiria, Luis
2 Fabes, Eugene B.
2 Figalli, Alessio
2 Garofalo, Nicola
2 Grimaldi-Piro, Anna
2 Guo, Yahong
2 Han, Xiaoli
2 Harvey, Reese
2 He, Yan
2 Hofmann, Steve
2 Huang, Qingbo
2 Húska, Juraj
2 Jin, Xishen
2 Kovats, Jay
2 Kuusi, Tuomo
2 Lawson, Herbert Blaine jun.
2 Lee, Hojoo
2 Lee, Ki-Ahm
2 Lewis, John L.
2 Li, Xiaoliang
2 Li, Xingxiao
2 Liu, Yangyang
2 Lubbe, Felix
2 Luo, Yong
2 Mooney, Connor
2 Persson, Hakan
2 Pimentel, Edgard A.
2 Pop, Camelia Alexandra
2 Qiao, Ruina
2 Qiu, Guohuan
2 Ren, Changyu
2 Sande, Olow
2 Takimoto, Kazuhiro
2 Teixeira, Eduardo V. O.
2 Tsui, Mao-Pei
2 Wang, Chong
2 Wang, Jun
2 Wang, Mu-Tao
2 Wang, Wenlong
2 Weinkove, Ben
2 Xu, Yingfeng
1 Apaza, Juan A.
1 Armstrong, Scott N.
1 Arslan, Kadri
1 Auscher, Pascal
1 Baasandorj, Sumiya
1 Ballal, Aashirwad N.
1 Bao, Jun
1 Bartolo, Rossella
1 Bortz, Simon
1 Bulca, Betül
1 Byun, Sun-Sig
1 Caboussat, Alexandre
1 Cabré, Xavier
...and 129 more Authors
all top 5

Cited in 74 Serials

22 Calculus of Variations and Partial Differential Equations
14 Journal of Differential Equations
14 Proceedings of the American Mathematical Society
12 Advances in Mathematics
12 Journal of Functional Analysis
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Transactions of the American Mathematical Society
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 The Journal of Geometric Analysis
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Mathematical Analysis and Applications
6 Mathematische Annalen
5 Communications on Pure and Applied Mathematics
5 Duke Mathematical Journal
5 Analysis & PDE
4 International Journal of Mathematics
4 Communications in Partial Differential Equations
3 Journal of Differential Geometry
3 Manuscripta Mathematica
3 Mathematische Zeitschrift
3 Pacific Journal of Mathematics
3 Communications in Contemporary Mathematics
3 Science China. Mathematics
2 Archive for Rational Mechanics and Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Probability Theory and Related Fields
2 Electronic Communications in Probability
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Acta Mathematica Sinica. English Series
2 Journal of Evolution Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
1 Israel Journal of Mathematics
1 Journal of Geometry and Physics
1 American Journal of Mathematics
1 The Annals of Probability
1 Archiv der Mathematik
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of the Korean Mathematical Society
1 Mathematische Nachrichten
1 Chinese Annals of Mathematics. Series B
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Geometric and Functional Analysis. GAFA
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 The Electronic Journal of Combinatorics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Study
1 Journal of the European Mathematical Society (JEMS)
1 DGDS. Differential Geometry – Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Analysis and Applications (Singapore)
1 Journal of Fixed Point Theory and Applications
1 Advances in Calculus of Variations
1 Communications in Mathematics and Statistics
1 Annals of PDE
1 Journal de l’École Polytechnique – Mathématiques
1 Mathematics in Engineering
1 Annales Fennici Mathematici
all top 5

Cited in 26 Fields

180 Partial differential equations (35-XX)
74 Differential geometry (53-XX)
16 Global analysis, analysis on manifolds (58-XX)
12 Potential theory (31-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Probability theory and stochastic processes (60-XX)
4 Algebraic geometry (14-XX)
4 Operator theory (47-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year