Szczegóły publikacji
Opis bibliograficzny
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction / Wen Zhang, Jian Zhang, Vicenţiu D. RǍDULESCU // Journal of Differential Equations ; ISSN 0022-0396. — 2023 — vol. 347, s. 56–103. — Bibliogr. s. 101–103, Abstr. — Publikacja dostępna online od: 2022-11-25. — V. D. Rǎdulescu - dod. afiliacje: Department of Mathematics, University of Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- Zhang Wen
- Zhang Jian
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 144820 |
|---|---|
| Data dodania do BaDAP | 2023-01-27 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2022.11.033 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
This paper focuses on the study of multiplicity and concentration phenomena of positive solutions for the singularly perturbed double phase problem with nonlocal Choquard reaction [Formula presented] where 1<p<q<N, 0<μ<N, ϵ is a small positive parameter and V is the absorption potential. Combining variational and topological arguments from Nehari manifold analysis and Ljusternik-Schnirelmann category theory, we prove the existence of positive ground state solutions that concentrate around global minimum points of the potential V. In the second part of this paper, we establish the relationship between the number of positive solutions and the topology of the set where V attains its global minimum. The main results included in this paper complement several recent contributions to the study of concentration phenomena. © 2022 Elsevier Inc.