Multibump positive solutions for Choquard equation with double potentials in ℝ3$$ {\mathrm{\mathbb{R}}}^3 $$

Abstract

In this paper, we construct a new family of multibump solutions to the following Choquard equation where and are radial positive functions and both of them satisfy some decay conditions at infinity. The centers of these bumps are located in points on two circles. More precisely, the new type of solutions has polygonal symmetry in the ‐plane and even symmetry about the ‐axis.