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arXiv · 1703.08234

The infinity-Fucik spectrum

Joao V. da Silva·Julio D. Rossi·Ariel M. Salort
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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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Joao V. da Silva, Julio D. Rossi, Ariel M. Salort. 2017-03-23. The infinity-Fucik spectrum. https://arxiv.org/abs/1703.08234

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