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The infinity-Fucik spectrum

Analysis of PDEs 2017-03-27 v1

Abstract

In this article we study the behavior as p+p \nearrow+\infty of the Fucik spectrum for pp-Laplace operator with zero Dirichlet boundary conditions in a bounded domain ΩRn\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.

Keywords

Cite

@article{arxiv.1703.08234,
  title  = {The infinity-Fucik spectrum},
  author = {Joao V. da Silva and Julio D. Rossi and Ariel M. Salort},
  journal= {arXiv preprint arXiv:1703.08234},
  year   = {2017}
}

Comments

5 figures

R2 v1 2026-06-22T18:55:24.950Z