Existence and concentration of ground states to a critical Choquard‐type equation involving steep potential well

Abstract

We study the Choquard-type equation with a critical local term and steep potential wellwhere, and I 𝛼 is the Riesz potential. Some results about the existence of ground states to this problem are obtained. Furthermore, we establish the concentrate behavior of the ground states as 𝜆 → +∞.