Szczegóły publikacji
Opis bibliograficzny
Concentration and multiplicity of solutions for fractional double phase problems / Youpei Zhang, Vicenţiu D. RĂDULESCU, Jing Chen, Dongdong Qin // Proceedings of the Royal Society of Edinburgh Section . A-Mathematics ; ISSN 0308-2105. — 2026 — vol. 156 iss. 4, s. 1283–1336. — Bibliogr. s. 1333–1336, Abstr. — Publikacja dostępna online od: 2024-11-25. — V. D. Rǎdulescu - dod. afiliacje: Brno University of Technology, Brno, Czech Republic; University of Craiova, Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania; Zhejiang Normal University, Zhejiang, China
Autorzy (4)
- Zhang Youpei
- AGHRǎdulescu Vicenţiu
- Chen Jing
- Qin Dongdong
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 169870 |
|---|---|
| Data dodania do BaDAP | 2026-10-07 |
| DOI | 10.1017/prm.2024.84 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Proceedings of the Royal Society of Edinburgh Section, A, Mathematics |
Abstract
In the present paper, we consider the following fractional double phase problem with nonlocal reaction: ⎧⎪⎨⎪⎩(−Δ)𝑠𝑝𝑢+(−Δ)𝑠𝑞𝑢+𝑉(𝜀𝑥)(|𝑢|𝑝−2𝑢+|𝑢|𝑞−2𝑢)=(1|𝑥|𝜇 ∗𝐹(𝑢))𝑓(𝑢) in ℝ𝑁, 𝑢∈𝑊𝑠,𝑝(ℝ𝑁)∩𝑊𝑠,𝑞(ℝ𝑁), 𝑢>0 in ℝ𝑁,⎫⎪⎬⎪⎭ where ɛ is apositive parameter, 0 <𝑠 <1, 2 ⩽𝑝 <𝑞 <min{2𝑝,𝑁/𝑠}, 0 <𝜇 <𝑠𝑝, (−Δ)𝑠 𝑡 (𝑡 ∈{𝑝,𝑞}) is the fractional t-Laplace operator, the reaction term 𝑓 :ℝ ↦ℝ is continuous, and the potential 𝑉 ∈𝐶(ℝ𝑁,ℝ) satisfying a local condition. Using a variational approach and topological tools (the non-standard C1-Nehari manifold analysis and the abstract category theory), multiplicity of positive solutions and concentration properties for the above problem are established. Our results extend and complement some previous contributions related to double phase variational integrals.
