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

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

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.