The existence of multiple solutions for a class of upper critical Choquard equation in a bounded domain

• Autorzy: Chen Yongpeng , Yang Zhipeng

Identyfikatory

DOI

10.1515/dema-2023-0152

• Języki publikacji: EN

Abstrakty

EN

In this article, we consider the following Choquard equation with upper critical exponent: [formula], x ∈ Ω where μ > 0 is a parameter, N > 4, 0 < α < N , […] is the Riesz potential, […] is a bounded domain with smooth boundary, and ƒ and g are continuous functions. For μ small enough, using variational methods, we establish the relationship between the number of solutions and the profile of potential g.

Słowa kluczowe

EN

Choquard equation; critical exponent; multiple solutions; variational methods

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230152
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Chen Yongpeng

• School of Science, Guangxi University of Science and Technology, Liuzhou, 545006, P.R. China

autor

Yang Zhipeng

• Department of Mathematics, Yunnan Normal University, Kunming 650500, China

Bibliografia

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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).