Quasilinear Schrodinger Equations With Stein-Weiss Type Convolution and Critical Exponential Nonlinearity in R^N

In this article, we investigate the existence of positive solutions to the following class of quasilinear Schrodinger equations involving Stein-Weiss type convolution { -Delta Nu-Delta N(u(2))u+V(x)|u|(N-2)u=(integral(RF)-F-N(y,u)|y|beta|x-y|mu dy)f(x,u)|x|(beta) in R-N whereN >= 2,0= 0,and 2 beta+mu R is a continuous function satisfying 0 Ris a continuous function with criticalex ponential growth in the sense of the Trudinger-Moser inequality and F(x,s)=integral s0f(x,t)dt is the primitive off