Ground states of coupled critical Choquard equations with weighted potentials

• Autorzy: Zhu Gaili , Duan Chunping , Zhang Jianjun , Zhang Huixing

Identyfikatory

DOI

10.7494/OpMath.2022.42.2.337

• Języki publikacji: EN

Abstrakty

EN

In this paper, we are concerned with the following coupled Choquard type system with weighted potentials [formula] where N ≥ 3, μ1, μ2, β > 0 and V1(x), V2(x) are nonnegative functions. Via the variational approach, one positive ground state solution of this system is obtained under some certain assumptions on V1(x), V2(x) and Q(x). Moreover, by using Hardy’s inequality and one Pohozǎev identity, a non-existence result of non-trivial solutions is also considered.

Słowa kluczowe

EN

ground state; Choquard equations; Hardy-Littlewood-Sobolev inequality; lower critical exponent

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 2
• Strony: 337--354
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Zhu Gaili

• Chongqing Jiaotong University, College of Mathematica and Statistics, Chongqing 400074, China

autor

Duan Chunping

• Chongqing Jiaotong University, College of Mathematica and Statistics, Chongqing 400074, China

autor

Zhang Jianjun

• Chongqing Jiaotong University, College of Mathematica and Statistics, Chongqing 400074, China

autor

Zhang Huixing

• China University of Mining and Technology, School of Mathematics, Xuzhou 221116, China

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).