An inequality à la Szegő–Weinberger for the p-Laplacian on convex sets

DOI10.1142/S0219199715500868zbMath1348.35160arXiv1407.7422OpenAlexW2963835853MaRDI QIDQ2828655

Lorenzo Brasco, Carlo Nitsch, Cristina Trombetti

Publication date: 26 October 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7422

zbMATH Keywords

shape optimizationnonlinear eigenvalue problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear boundary value problems for ordinary differential equations (34B15) Eigenvalue problems for linear operators (47A75)

Related Items (7)

Lyapunov-type inequalities for partial differential equations with \(p\)-Laplacian ⋮ A toy Neumann analogue of the nodal line conjecture ⋮ Optimal Szegő-Weinberger type inequalities ⋮ On principal frequencies and isoperimetric ratios in convex sets ⋮ On the geometry of the \(p\)-Laplacian operator ⋮ On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk ⋮ Extremal p -Laplacian eigenvalues

Cites Work

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• An optimal Poincaré inequality for convex domains
• The longest shortest fence and sharp Poincaré-Sobolev inequalities
• A remark on optimal weighted Poincaré inequalities for convex domains
• The Neumann eigenvalue problem for the \(\infty\)-Laplacian
• Variation and optimization of formes. A geometric analysis
• Best constants in Poincar\'e inequalities for convex domains
• Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems

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