Steklov eigenvalues for the \(\infty\)-Laplacian

DOI10.4171/RLM/463zbMath1114.35072MaRDI QIDQ996935

Julio D. Rossi, Juan J. Manfredi, Ireneo Peral Alonso, J. P. García Azorero

Publication date: 19 July 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionsEigenvalueQuasilinear elliptic equationsViscosity solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (10)

The first nontrivial eigenvalue for a system of \(p\)-Laplacians with Neumann and Dirichlet boundary conditions ⋮ The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians ⋮ The limit as \(p \rightarrow \infty\) for the \(p\)-Laplacian with mixed boundary conditions and the mass transport problem through a given window ⋮ The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case ⋮ Upper bounds for the Steklov eigenvalues of the p ‐Laplacian ⋮ The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition ⋮ The orthotropic \(p\)-Laplace eigenvalue problem of Steklov type as \(p\rightarrow+\infty\) ⋮ Eigenvalues for systems of fractional \(p\)-Laplacians ⋮ Shape derivative of the Cheeger constant ⋮ The limit as \(p \to + \infty\) of the first eigenvalue for the \(p\)-Laplacian with mixed Dirichlet and Robin boundary conditions

Cites Work

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• Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
• On the higher eigenvalues for the \(\infty\)-eigenvalue problem
• The \(\infty\)-eigenvalue problem
• Extension of functions satisfying Lipschitz conditions
• User’s guide to viscosity solutions of second order partial differential equations
• A tour of the theory of absolutely minimizing functions
• The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions

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