Szczegóły publikacji
Opis bibliograficzny
Concentration of positive solutions for a class of fractional p-Kirchhoff type equations / V. Ambrosio, T. Isernia, V. D. RǍDULESCU // Proceedings of the Royal Society of Edinburgh Section. A-Mathematics ; ISSN 0308-2105. — 2021 — vol. 151 iss. 2, s. 601–651. — Bibliogr. s. 649–651. — Publikacja dostępna online od: 2021-05-04. — Dod. afiliacja: University of Craiova, Romania
Autorzy (3)
- Ambrosio Vincenzo
- Isernia T.
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 128800 |
|---|---|
| Data dodania do BaDAP | 2021-10-08 |
| Tekst źródłowy | URL |
| DOI | 10.1017/prm.2020.32 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Proceedings of the Royal Society of Edinburgh Section, A, Mathematics |
Abstract
We study the existence and concentration of positive solutions for the following class of fractional p-Kirchhoff type problems: 0 & \text{in}\ \mathbb{R}^{3}, \end{array}\right.$$]]> where E is a small positive parameter, a and b are positive constants, s â (0, 1) and p â (1, ∞) are such that, is the fractional p-Laplacian operator, f: â., → â., is a superlinear continuous function with subcritical growth and V: â.,3 → â., is a continuous potential having a local minimum. We also prove a multiplicity result and relate the number of positive solutions with the topology of the set where the potential V attains its minimum values. Finally, we obtain an existence result when f(u) = uq-1 + Î3ur-1, where γ> 0 is sufficiently small, and the powers q and r satisfy 2p < q < p∗s â ©1/2 r. The main results are obtained by using some appropriate variational arguments. © The Author(s), 2020. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.
