Ground states of nonlinear fractional Schrödinger equation involving critical growth

Abstract

In this paper, we are concerned with the ground state solutions of nonlinear fractional Schrödinger equation involving critical growth. Without Ambrosetti-Rabinowitz condition and monotonicity condition on the nonlinearity, we get the existence of ground state solutions of such equation when the potential $V(x)$ is not a constant and not radial.

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References in corpus (2)

• Fractional Quantum Mechanics
• Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity