Found 36 Documents (Results 1–36)
A variational approach to the hot spots conjecture. (English) Zbl 1541.35325
Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 37-45 (2024).
Fredholm determinants, Evans functions and Maslov indices for partial differential equations. (English) Zbl 07850219
Reviewer: Jonathan Rohleder (Stockholm)
Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator. (English) Zbl 07843767
Pólya’s conjecture for Euclidean balls. (English) Zbl 1529.35314
Reviewer: Ayman Kachmar (Shenzhen)
Improved upper bounds for the hot spots constant of Lipschitz domains. (English) Zbl 1522.35120
Reviewer: Andreas Kleefeld (Jülich)
An upper bound on the hot spots constant. (English) Zbl 1519.35041
Reviewer: Andreas Kleefeld (Jülich)
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. (English) Zbl 1492.58016
Reviewer: Emily Dryden (Lewisburg)
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators. (English) Zbl 1484.35303
On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with distant perturbations. (English. Russian original) Zbl 1473.35034
J. Math. Sci., New York 258, No. 1, 1-12 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 3-14 (2019).
Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs. (English) Zbl 1472.35418
Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables. (English. Russian original) Zbl 1455.35252
St. Petersbg. Math. J. 32, No. 1, 139-154 (2021); translation from Algebra Anal. 32, No. 1, 187-207 (2020).
Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments. (English) Zbl 1445.35017
Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds. (English) Zbl 1445.35264
A short note on Helmholtz decompositions for bounded domains in \(\mathbb{R}^3\). (English) Zbl 1426.35075
Inequalities between Dirichlet and Neumann eigenvalues of the polyharmonic operators. (English) Zbl 1428.35252
Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. (English. Russian original) Zbl 1416.35259
St. Petersbg. Math. J. 30, No. 3, 545-572 (2019); translation from Algebra Anal. 30, No. 3, 210-249 (2018).
Comparison results for eigenvalues of curl curl operator and Stokes operator. (English) Zbl 1401.35227
Explicit div-curl inequalities in bounded and unbounded domains of \({{\mathbb {R}}}^3\). (English) Zbl 1386.35386
Eigenvalue inequalities for the Laplacian with mixed boundary conditions. (English) Zbl 1366.35106
Reviewer: Michael Perelmuter (Kyïv)
Eigenvalue estimates for the Laplacian on a metric tree. (English) Zbl 1367.34029
Reviewer: Sonja Currie (Wits)
On mixed Dirichlet-Neumann eigenvalues of triangles. (English) Zbl 1359.35118
Reviewer: Bodo Dittmar (Halle)
MSC:
35P15
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs. (English) Zbl 1335.81078
Reviewer: Jonathan Rohleder (Hamburg)
On Maxwell’s and Poincaré’s constants. (English) Zbl 1321.35226
Reviewer: Milan Pokorný (Praha)
Strict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domains. (English) Zbl 1304.47062
Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. (English) Zbl 1296.47041
Lower bounds for the counting function of integral operators. (English) Zbl 1263.45001
Karlovich, Yuri I. (ed.) et al., Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Dedicated to his 70th birthday. Basel: Birkhäuser (ISBN 978-3-0348-0536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Applications 228, 343-354 (2013).
The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed. (English) Zbl 1223.35242
Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds. (English) Zbl 1209.53027
Reviewer: Jan Kurek (Lublin)
Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities. (English) Zbl 1181.35155
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