Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth

Abstract

This article concerns the ground state solutions of nonlinear fractional Schrodinger equations involving critical growth. We obtain the existence of ground state solutions when the potential is not a constant and not radial. We do not use the Ambrosetti-Rabinowitz condition, or the monotonicity condition on the nonlinearity.

Keywords

• Fractional Schrodinger equations
• ground state solutions
• critical growth
• Pohozaev identity