Uniqueness of positive solutions of a $n$-Laplace equation in a ball in $r^n$ with exponential nonlinearity

Adimurthi, Karthik A, Jacques Giacomoni

Let $n\ge 2$ and $\Omega \subset {\mathbb{R}}^n$ be a bounded domain. Then by Trudinger-Moser embedding, $W_0^{1,n}(\Omega )$ is embedded in an Orlicz space consisting of exponential functions…