An isoperimetric inequality for a nonlinear eigenvalue problem
arXiv:1103.6024 · doi:10.1016/j.anihpc.2011.08.001
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.
Annales de l'Institut Henri Poincaré Analyse non linéaire (2012) 15 pages; Equipe Equations aux dérivées partielles et applications