Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus

Anderson L. A. de Araujo

Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus

Analysis of PDEs 2016-07-11 v1 Classical Analysis and ODEs

Authors: Anderson L. A. de Araujo

Abstract

We present a result of existence of infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annular domains, when $p\leq N$ , contouring the failure of compactness of $W^{1,p}(\Omega)$ in $C^0(\bar{\Omega})$ applying a variable change.

Keywords

dirichlet problem p-laplacian annular domains infinitely many solutions variable change compactness

Cite

@article{arxiv.1607.02468,
  title  = {Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus},
  author = {Anderson L. A. de Araujo},
  journal= {arXiv preprint arXiv:1607.02468},
  year   = {2016}
}

Comments

8 pages

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