Szczegóły publikacji
Opis bibliograficzny
Localized concentration of semiclassical solutions for double phase problems with nonlocal reaction / Jian Zhang, Wen Zhang, Vicenţiu D. RĂDULESCU // Analysis and Mathematical Physics ; ISSN 1664-2368 . — 2026 — vol. 16 iss. 2 art. no. 35, s. 1–54. — Bibliogr. s. 52–54, Abstr. — Publikacja dostępna online od: 2026-03-18. — V. Rǎdulescu - dod. afiliacje: Brno University of Technology, Brno, Czech Republic ; “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Bucharest, Romania ; University of Craiova, Craiova, Romania ; Baku Engineering University, Baku, Azerbaijan
Autorzy (3)
- Zhang Jian
- Zhang Wen
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 166771 |
|---|---|
| Data dodania do BaDAP | 2026-03-30 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s13324-026-01182-x |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Analysis and Mathematical Physics |
Abstract
This paper focuses on the study of multiplicity and localized concentration properties of positive solutions for the following singularly perturbed double phase problem with nonlocal Choquard reaction {-epsilon(p)Delta(p)u - epsilon(q)Delta(q)u + V(x)(|u|(p-2)u + |u|(q-2)u) = epsilon(& micro;-N) ( 1 / |x|(& micro;) * G(u)) g(u), in R-N, u is an element of W-1,W-p(R-N) boolean AND W-1,W-q(R-N), u > 0, in R-N, where 1 < p < q < N, 0 < & micro; < p, epsilon is a small positive parameter and V is the absorption potential. We assume that the potential V satisfies only a local condition introduced by del Pino and Felmer. Applying suitable variational and topological methods combined with penalization technique, we obtain multiple semiclassical positive solutions for epsilon > 0 sufficiently small as well as related concentration properties, in relationship with the set where the potential V attains its minimum. Moreover, we also investigate the decay property of semiclassical positive solutions. The main results included in this paper complement several recent contributions to the study of concentration phenomena.
