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Optimizing the first eigenvalue of some quasilinear operators with respect to the boundary conditions

By Francesco Della Pietra, Nunzia Gavitone and Hynek Kovarik

Abstract

We consider a class of quasilinear operators on a bounded domain $\Omega\subset \mathbb R^n$ and address the question of optimizing the first eigenvalue with respect to the boundary conditions, which are of the Robin-type. We describe the optimizing boundary conditions and establish upper and lower bounds on the respective maximal and minimal eigenvalue

Topics: Mathematics - Analysis of PDEs, 35P15, 35P30, 35J60
Year: 2015
OAI identifier: oai:arXiv.org:1511.03596

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