On nonlinear perturbations of a periodic integrodifferential equation with critical exponential growth

Abstract

In this paper, we study the existence of solutions for integrodifferential Schrödinger equations of the form where is a nonlocal operator with a measurable kernel which satisfies ‘structural properties’, more general than the standard kernel of fractional Laplacian operator, V is a bounded potential, and the nonlinear term has critical exponential growth with respect to the Trudinger–Moser inequality.