An isoperimetric inequality for a nonlinear eigenvalue problem
Analysis of PDEs
2015-05-27 v2
Abstract
We prove an isoperimetric inequality of the Rayleigh-Faber-Krahn type for a nonlinear generalization of the first twisted Dirichlet eigenvalue. More precisely, we show that the minimizer among sets of given volume is the union of two equal balls.
Keywords
Cite
@article{arxiv.1103.6024,
title = {An isoperimetric inequality for a nonlinear eigenvalue problem},
author = {Gisella Croce and Antoine Henrot and Giovanni Pisante},
journal= {arXiv preprint arXiv:1103.6024},
year = {2015}
}
Comments
Annales de l'Institut Henri Poincar\'e Analyse non lin\'eaire (2012) 15 pages; Equipe Equations aux d\'eriv\'ees partielles et applications