Solutions concentrating around the saddle points of the potential for Schrödinger equations with critical exponential growth

J. Zhang, J. M. do Ó, P. K. Mishra

In this paper, we deal with the following nonlinear Schrödinger equation $$-{\epsilon }^2\Delta u+V(x)u=f(u),u\in H^1({\mathbb{R}}^2),$$ where $f(t)$ has critical growth of Trudinger-Moser type.…