An isoperimetric inequality for a nonlinear eigenvalue problem

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.Comment: Annales de l'Institut Henri Poincar\'e Analyse non lin\'eaire (2012) 15 pages; Equipe Equations aux d\'eriv\'ees partielles et application

Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas

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Symmetry breaking in a constrained Cheeger type isoperimetric inequality

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