Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in $\mathbb R^N$

Abstract

In this article, we investigate the existence of the positive solutions to the following class of quasilinear Schrödinger equations involving Stein-Weiss type convolutionis a continuous function with critical exponential growth in the sense of the Trudinger-Moser inequality and F (x, s) = s 0 f (x, t)dt is the primitive of f .