Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions

2013/11/14 by Della Pietra, Francesco, Gavitone, Nunzia
#35P15 35P30 35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.3456

Abstract

In this paper we study the main properties of the first eigenvalue and its eigenfunctions of a class of highly nonlinear elliptic operators in a bounded Lipschitz domain, assuming a Robin boundary condition. Moreover, we prove a Faber-Krahn inequality.

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