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arXiv · 1103.6024

An isoperimetric inequality for a nonlinear eigenvalue problem

Gisella Croce·Antoine Henrot·Giovanni Pisante
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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.

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Gisella Croce, Antoine Henrot, Giovanni Pisante. 2011-11-29. An isoperimetric inequality for a nonlinear eigenvalue problem. https://doi.org/10.1016/j.anihpc.2011.08.001

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