Szczegóły publikacji
Opis bibliograficzny
Concentration of solutions for non-autonomous double-phase problems with lack of compactness / Weiqiang Zhang, Jiabin Zuo, Vicenţiu D. RǍDULESCU // Zeitschrift für Angewandte Mathematik und Physik ; ISSN 0044-2275. — 2024 — vol. 75 iss. 4 art. no. 148, s. 1–30. — Bibliogr. s. 28–29, Abstr. — Publikacja dostępna online od: 2024-07-20. — V. D. Rǎdulescu - dod. afiliacja: Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Czech Republic; Department of Mathematics, University of Craiova, Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania; Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
Autorzy (3)
- Zhang Weiqiang
- Zuo Jiabin
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 156551 |
|---|---|
| Data dodania do BaDAP | 2024-12-12 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00033-024-02290-z |
| Rok publikacji | 2024 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Zeitschrift für Angewandte Mathematik und Physik |
Abstract
The present paper is devoted to the study of the following double-phase equation (Formula presented.) where N≥2, 1<p<q<N, q<p∗ with p∗=NpN-p, μ:RN→R is a continuous non-negative function, με(x)=μ(εx), V:RN→R is a positive potential satisfying a local minimum condition, Vε(x)=V(εx), and the nonlinearity f:R→R is a continuous function with subcritical growth. Under natural assumptions on μ, V and f, by using penalization methods and Lusternik–Schnirelmann theory we first establish the multiplicity of solutions, and then, we obtain concentration properties of solutions.
