Multiplicity and concentration of solutions for fractional Kirchhoff–Choquard equation with critical growth

Abstract

In this paper, we are considered with class of fractional Kirchhoff–Choquard equation. Applying variational methods and topological arguments, we first investigate the existence of positive ground state solution and then consider relationship for the number of positive solutions and the topology of the set where the potential V attains its minimum. Finally, we give the concentrating behavior of solutions.