Szczegóły publikacji
Opis bibliograficzny
Non-autonomous double phase eigenvalue problems with indefinite weight and lack of compactness / Tianxiang Gou, Vicenţiu D. RĂDULESCU // Bulletin of the London Mathematical Society ; ISSN 0024-6093. — 2024 — vol. 56 iss. 2, s. 734–755. — Bibliogr. s. 754–755, Abstr. — Publikacja dostępna online od: 2023-12-01. — 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, Jinhua, Zhejiang, China
Autorzy (2)
- Gou Tianxiang
- AGHRǎdulescu Vicenţiu
Dane bibliometryczne
| ID BaDAP | 152334 |
|---|---|
| Data dodania do BaDAP | 2024-04-16 |
| Tekst źródłowy | URL |
| DOI | 10.1112/blms.12961 |
| Rok publikacji | 2024 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Bulletin of the London Mathematical Society |
Abstract
In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, (Formula presented.) where (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and (Formula presented.) is an indefinite sign weight which may admit non-trivial positive and negative parts. Here, (Formula presented.) is the (Formula presented.) -Laplacian operator and (Formula presented.) is the weighted (Formula presented.) -Laplace operator defined by (Formula presented.). The problem can be degenerate, in the sense that the infimum of (Formula presented.) in (Formula presented.) may be zero. Our main results distinguish between the cases (Formula presented.) and (Formula presented.). In the first case, we establish the existence of a continuous family of eigenvalues, starting from the principal frequency of a suitable single phase eigenvalue problem. In the latter case, we prove the existence of a discrete family of positive eigenvalues, which diverges to infinity. © 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.