Szczegóły publikacji

Opis bibliograficzny

Ground states of weighted 4D biharmonic equations with exponential growth / Sami Baraket, Brahim Dridi, Rached Jaidane, Vicenţiu D. RĂDULESCU // Mathematical Methods in the Applied Sciences ; ISSN 0170-4214. — 2024 — vol. 47 iss. 6, s. 5007–5030. — Bibliogr. s. 5029–5030, Abstr. — Publikacja dostępna online od: 2023-12-26. — V. D. Rădulescu - dod. afiliacja: Department of Mathematics, Universityof Craiova, Craiova, Romania; Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno, Czech Republic; School of Mathematics, Zhejiang Normal University, Jinhua, China; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

Autorzy (4)

Słowa kluczowe

compactness levelnonlinearity of exponential growthAdams inequalitymountain pass methodNehari manifold

Dane bibliometryczne

ID BaDAP152587
Data dodania do BaDAP2024-04-24
Tekst źródłowyURL
Rok publikacji2024
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaMathematical Methods in the Applied Sciences


In this paper, we are concerned with the existence of a ground state solution for a logarithmic weighted biharmonic equation under Dirichlet boundary conditions in the unit ball (Formula presented.) of (Formula presented.). The reaction term of the equation is assumed to have exponential growth, in view of Adams' type inequalities. It is proved that there is a ground state solution using min-max techniques and the Nehari method. The associated energy functional loses compactness at a certain level. An appropriate asymptotic condition allows us to bypass the non-compactness levels of the functional. © 2023 John Wiley & Sons Ltd.

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