Faber-Krahn Inequality for Anisotropic Eigenvalue Problems with Robin Boundary Conditions |
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Authors: | Francesco Della Pietra Nunzia Gavitone |
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Affiliation: | 1. Dipartimento di Matematica e Applicazioni R. Caccioppoli, Complesso di Monte Sant’Angelo, Università degli studi di Napoli Federico II, 80126, Via Cintia, Napoli, Italia
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Abstract: | In this paper we study the main properties of the first eigenvalue λ 1(Ω) and its eigenfunctions of a class of highly nonlinear elliptic operators in a bounded Lipschitz domain Ω ? ? n , assuming a Robin boundary condition. Moreover, we prove a Faber-Krahn inequality for λ 1(Ω). |
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