Kirchhoff-Choquard Problems with Double-Phase Structure

Abstract

In this paper, we investigate a new class of non-local Kirchhoff-Choquard problems with a double-phase structure. The problem combines fractional operators with different growth behaviors and a non-local interaction of Choquard type. Our approach is based on an approximation procedure and the analysis of the associated energy functional through critical groups. By applying Morse theory, we establish the existence of at least one non-trivial weak solution. These results contribute to the study of non-local problems involving double-phase behavior, Kirchhoff-type operators, and Choquard interactions.