Standing Waves for nonlinear Schrodinger Equations involving critical growth

Jianjun Zhang, Zhijie Chen, Wenming Zou

We consider the following singularly perturbed nonlinear elliptic problem: $$-\e^2Δu+V(x)u=f(u),\ u\in H^1(\mathbb{R^N}),$$ where $N\ge 3$ and the nonlinearity $f$ is of critical g…