Nonlinear nonlocal elliptic problems in ℝ3: existence results and qualitative properties

• Autorzy: Lü Dengfeng , Dai Shu-Wei

Identyfikatory

DOI

10.1515/dema-2023-0147

• Języki publikacji: EN

Abstrakty

EN

We consider the following nonlinear nonlocal elliptic problem: [formula], where a, b > 0 are constants, λ > 0 is a parameter, α ∈ (0,3), and G ∈ C1 (R,R). By using variational methods, we establish the existence of least energy solutions for the above equation under conditions on the nonlinearity G we believe to be almost necessary. Some qualitative properties of the least energy solutions are also obtained

Słowa kluczowe

EN

nonlocal elliptic problem; variational method; least energy solution; qualitative property

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230147
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Lü Dengfeng

• School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, P.R. China

autor

Dai Shu-Wei

• College of Technology, Hubei Engineering University, Xiaogan 432000, P.R. China

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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).