N-Laplacian equations in ${\mathbb{R}}^N$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition

Nhuyen Lam, Guozhen Lu

Let $\Omega$ be a bounded domain in ${\mathbb{R}}^N$. In this paper, we consider the following nonlinear elliptic equation of $N$-Laplacian type: $-{\Delta }_{N}u=f(x,u)$ where $u\in W_{0}^{1,2}\…