On low eigenvalues of the Laplacian with mixed boundary conditions

Author:

Ashbaugh Mark S.,Chiacchio Francesco

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference27 articles.

1. On universal inequalities for the low eigenvalues of the buckling problem;Ashbaugh,2004

2. Proof of the Payne–Pólya–Weinberger conjecture;Ashbaugh;Bull. Amer. Math. Soc. (N.S.),1991

3. A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions;Ashbaugh;Ann. of Math. (2),1992

4. More bounds on eigenvalue ratios for Dirichlet Laplacians in n dimensions;Ashbaugh;SIAM J. Math. Anal.,1993

5. Universal bounds for the low eigenvalues of Neumann Laplacians in n dimensions;Ashbaugh;SIAM J. Math. Anal.,1993

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1. The discrete p-Schrödinger equations under the mixed boundary conditions on networks;Physica D: Nonlinear Phenomena;2019-08

2. Sharp Poincaré inequalities in a class of non-convex sets;Journal of Spectral Theory;2018-10-22

3. A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains;Zeitschrift für angewandte Mathematik und Physik;2015-04-29

4. Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2015-01-30

5. On the first Dirichlet Laplacian eigenvalue of regular polygons;Kodai Mathematical Journal;2014-10-01

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