Persistence of eigenvalues and multiplicity in the Dirichlet problem for the Laplace operator on nonsmooth domains

DOI10.1007/s11040-005-9003-7zbMath1105.35063OpenAlexW2018962068MaRDI QIDQ2432019

Massimo Lanza de Cristoforis, Pier Domenico Lamberti

Publication date: 25 October 2006

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-005-9003-7

zbMATH Keywords

Dirichlet problemnonlinear operatorLaplaciandomain perturbation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05)

Related Items (2)

Absence of critical mass densities for a vibrating membrane ⋮ HOMOTOPIES OF EIGENFUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET

Cites Work

• A global Lipschitz continuity result for a domain dependent Dirichlet eigenvalue problem for the Laplace operator
• Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
• On the persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on the domain
• On multiple eigenvalues of selfadjoint compact operators
• Construction de laplaciens dont une partie finie du spectre est donnée
• An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain
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