Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

Abstract

Abstract In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence results for the above equation, which improve the related results on this topic.

Keywords

• Fractional Laplacian
• Principle of concentration compactness
• Fractional Schödinger equation
• Weak solution
• Variational method