Infinitely many sign-changing solutions for a class of elliptic problem with exponential critical growth

Denilson Pereira

Infinitely many sign-changing solutions for a class of elliptic problem with exponential critical growth

Analysis of PDEs 2015-04-01 v1

Authors: Denilson Pereira

Abstract

In this work we prove the existence of infinitely many nonradial solutions that change signal to the problem $-\Delta u=f(u)$ in $B$ with $u=0$ on $\partial B$ , where $B$ is the unit ball in $\mathbb{R}^2$ and $f$ is a continuous and odd function with exponential critical growth.

Keywords

sign-changing solutions elliptic problems exponential critical growth nonradial solutions unit ball infinitely many solutions

Cite

@article{arxiv.1503.09056,
  title  = {Infinitely many sign-changing solutions for a class of elliptic problem with exponential critical growth},
  author = {Denilson Pereira},
  journal= {arXiv preprint arXiv:1503.09056},
  year   = {2015}
}

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