Nonlinear Choquard equations on hyperbolic space

• Autorzy: He Haiyang

Identyfikatory

DOI

10.7494/OpMath.2022.42.5.691

• Języki publikacji: EN

Abstrakty

EN

In this paper, our purpose is to prove the existence results for the following nonlinear Choquard equation [formula] on the hyperbolic space BN, where ΔBN denotes the Laplace-Beltrami operator on BN, [formula] λ is a real parameter, 0 < μ < N, 1 < p ≤ 2∗μ,N ≥ 3 and [formula] is the critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality.

Słowa kluczowe

EN

nonlinear Choquard equation; hyperbolic space; existence solutions; Hardy-Littlewood-Sobolev inequality

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 5
• Strony: 691--708
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

He Haiyang

• Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), College of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, P.R. China

Bibliografia

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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).