Spectral stability of the \(p\)-Laplacian

DOI10.1016/j.na.2009.01.058zbMath1169.35363OpenAlexW2055640034MaRDI QIDQ1030116

Pier Domenico Lamberti, Victor I. Burenkov

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.058

zbMATH Keywords

eigenvalues\(p\)-Laplaciandomain perturbation

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (4)

Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains ⋮ EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS ⋮ NECESSARY AND SUFFICIENT CONDITIONS OF COMPACTNESS OF CERTAIN EMBEDDINGS OF SOBOLEV SPACES ⋮ Shape sensitivity analysis of the Hardy constant

Cites Work

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• A global Lipschitz continuity result for a domain dependent Dirichlet eigenvalue problem for the Laplace operator
• Eigenvalue stability bounds via weighted Sobolev spaces
• Spectral stability of the Neumann Laplacian.
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Eigenvalue problems for the \(p\)-Laplacian
• Some aspects of nonlinear eigenvalue problems
• On the perturbation of eigenvalues for the -Laplacian
• Spectral Stability of Higher Order Uniformly Elliptic Operators
• Approximation of Ground State Eigenvalues and Eigenfunctions of Dirichlet Laplacians
• Sharp boundary estimates for elliptic operators

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