GROUND STATES OF NONLINEAR FRACTIONAL CHOQUARD EQUATIONS WITH HARDY-LITTLEWOOD-SOBOLEV CRITICAL GROWTH

摘要

We are concerned with nonlinear fractional Choquard equations involving critical growth in the sense of the Hardy-Littlewood-Sobolev inequality. Without the Ambrosetti-Rabinowitz condition or monotonicity condition on the nonlinearity, we establish the existence of radially symmetric ground state solutions.