Existence of solution for the (p, q)-fractional Laplacian equation with nonlocal Choquard reaction and exponential growth

Abstract

In this paper, we study the existence of weak solution to -fractional Choquard equation in as follows where , , f has exponential growth. The function f and V are continuous which satisfy some suitable assumptions. In our best knowledge, sofar there is not any work about existence of weak solution to -fractional Choquard equation with exponential growth. Our results are even new in the case -Laplace equation which are complement the results of Fiscella and Pucci [ equations with critical exponential nonlinearities in . J Math Anal Appl. 2021;501(1), Article 123379].