Szczegóły publikacji
Opis bibliograficzny
Fractional double-phase patterns: concentration and multiplicity of solutions / Vincenzo Ambrosio, Vicenţiu D. RǍDULESCU // Journal de Mathématiques Pures et Appliquées ; ISSN 0021-7824. — 2020 — vol. 142, s. 101–145. — Bibliogr. s. 143–145, Abstr. — Publikacja dostępna online od: 2020-08-24. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Romania
Autorzy (2)
- Ambrosio Vincenzo
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 132189 |
|---|---|
| Data dodania do BaDAP | 2021-01-21 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.matpur.2020.08.011 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal de Mathématiques Pures et Appliquées |
Abstract
We consider the following class of fractional problems with unbalanced growth: {(−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=f(u)in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0in RN, where ε>0 is a small parameter, s∈(0,1), [Formula presented], (−Δ)ts (with t∈{p,q}) is the fractional t-Laplacian operator, V:RN→R is a continuous potential satisfying local conditions, and f:R→R is a continuous nonlinearity with subcritical growth. Applying suitable variational and topological arguments, we obtain multiple positive solutions for ε>0 sufficiently small as well as related concentration properties, in relationship with the set where the potential V attains its minimum.
