Szczegóły publikacji
Opis bibliograficzny
Multiplicity and concentration properties for (p, q)-Kirchhoff non-autonomous problems with Choquard nonlinearity / Jiabin Zuo, Weiqiang Zhang, Vicenţiu D. RĂDULESCU // Bulletin des Sciences Mathematiques ; ISSN 0007-4497. — 2024 — vol. 191 art. no. 103398, s. 1–35. — Bibliogr. s. 34–35, Abstr. — Publikacja dostępna online od: 2024-02-19. — V. D. Rădulescu - dod. afiliacje: 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 (3)
- Zuo Jiabin
- Zhang Weiqiang
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 153193 |
|---|---|
| Data dodania do BaDAP | 2024-06-18 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.bulsci.2024.103398 |
| Rok publikacji | 2024 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Bulletin des Sciences Mathématiques |
Abstract
In this paper, we study the following (p, q)-Kirchhoff problem with Choquard nonlinearity: - (1 + a integral(N)(R) |del u|(p)dx)Delta(p)u - (1 + b integral(N)(R) |del u|(q)dx)Delta(q)u + V-epsilon(x) (|u|(p-2)u + |u|(q-2)u) = (|x|(-mu) * F(u))f(u) in R-N, where epsilon is a small positive parameter, a, b are positive constants, 1 < p < q < N, q < 2p, Delta(s)u = div(|del u|(s-2)del u) with s is an element of {p, q} is the s-Laplacian, the potential V : R-N -> R is continuous, V-epsilon(x) = V(epsilon x), 0 < mu < q, f is a continuous nonlinearity, and F is the primitive of f. The main result in this paper establishes multiplicity and concentration properties of positive solutions under weaker hypotheses. The proofs combine nonstandard Nehari manifold methods, penalization techniques and the Ljusternik-Schnirelmann category theory.
