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

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.