Continuity of eigenvalues of the Laplace operator according to domain

DOI10.3103/S0027132215030079zbMath1334.35181MaRDI QIDQ253956

I. V. Tsylin

Publication date: 8 March 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

continuityeigenvaluesLaplace-Dirichlet operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation

Cites Work

• Partial differential equations. III: Nonlinear equations.
• On the existence of a solution in a domain identification problem
• Variational methods in shape optimization problems
• Variation and optimization of formes. A geometric analysis
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