Ground State Solutions of Fractional Choquard Problems with Critical Growth

Abstract

In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained. In addition, we demonstrate the existence of ground state solutions for the corresponding limit problem.

Keywords

• fractional Choquard equation
• ground state solution
• Pohožaev identity
• critical growth