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On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

Zhao Min, Song Yueqiang, Repovš Dušan D.

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20230124

In this article, we deal with the following p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: [formula], where [...] and k are some positive parameters, […] is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions V and M satisfy the suitable conditions. By proving the compactness results using the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.