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.File in questo prodotto:
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