An isoperimetric inequality for a nonlinear eigenvalue problem

Details An isoperimetric inequality for a nonlinear eigenvalue problem An isoperimetric inequality for a nonlinear eigenvalue problem

2011-03-30

arxiv.org/abs/1103.6024v2

Mathematics

Analysis of PDEs

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

Scientific paper

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.

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