In this paper, we study existence and multiplicity results for Choquard-Kirchhoff equations, with Hardy-Littlewood-Sobolev critical exponents, According to the different range of the subcritical exponent, we discuss the multiplicity of solutions for the above equation, using variational methods under suitable conditions. In order to overcome the lack of compactness, we appeal to the concentration compactness principle in the Choquard-type setting.

Multiple solutions for critical Choquard-Kirchhoff type equations

Pucci, Patrizia;
2021

Abstract

In this paper, we study existence and multiplicity results for Choquard-Kirchhoff equations, with Hardy-Littlewood-Sobolev critical exponents, According to the different range of the subcritical exponent, we discuss the multiplicity of solutions for the above equation, using variational methods under suitable conditions. In order to overcome the lack of compactness, we appeal to the concentration compactness principle in the Choquard-type setting.
2021
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1473404
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