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

• Autorzy: Zhao Min , Song Yueqiang , Repovš Dušan D.

Identyfikatory

DOI

10.1515/dema-2023-0124

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hardy-Littlewood-Sobolev nonlinearity; Schrödinger-Kirchhoff equations; variational methods; electromagnetic fields

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230124
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Zhao Min

• College of Mathematics, Changchun Normal University, Changchun, 130032, P. R. China

• https://orcid.org/0000-0002-6418-0675

autor

Song Yueqiang

• College of Mathematics, Changchun Normal University, Changchun, 130032, P. R. China

• https://orcid.org/0000-0003-3570-3956

autor

Repovš Dušan D.

• Faculty of Education and Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, 1000, Slovenia
• Institute of Mathematics, Physics and Mechanics, Ljubljana, 1000, Slovenia

• https://orcid.org/0000-0002-6643-1271

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).