An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes

DOI10.1007/S00032-020-00320-9zbMath1465.35328arXiv2005.13840OpenAlexW3083589940MaRDI QIDQ2027281

Gianpaolo Piscitelli, Francesco Della Pietra

Publication date: 25 May 2021

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13840

zbMATH Keywords

mixed boundary conditionsnonlinear eigenvalue problemstorsional rigidityoptimal estimates

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

An optimal insulation problem ⋮ The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data ⋮ Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators ⋮ Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes

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