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

Fuente: arXiv
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Auteurs principaux: Della Pietra, Francesco, Piscitelli, Gianpaolo
Format: Preprint
Publié: 2020
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author Della Pietra, Francesco
Piscitelli, Gianpaolo
author_facet Della Pietra, Francesco
Piscitelli, Gianpaolo
contents In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.
format Preprint
id arxiv_https___arxiv_org_abs_2005_13840
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
Della Pietra, Francesco
Piscitelli, Gianpaolo
Analysis of PDEs
Optimization and Control
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.
title An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
topic Analysis of PDEs
Optimization and Control
url https://arxiv.org/abs/2005.13840