The infinity-Fucik spectrum

Abstract

In this article we study the behavior as $p\nearrow +\infty$ of the Fucik spectrum for $p$-Laplace operator with zero Dirichlet boundary conditions in a bounded domain $\Omega \subset {\mathbb{R}}^n$. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations of the spectrum for certain configurations of the domain.

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References in corpus (1)

• The \infty eigenvalue problem and a problem of optimal transportation