Szczegóły publikacji
Opis bibliograficzny
Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases / Louis Jeanjean, Vicenţiu D. RĂDULESCU // Journal d'Analyse Mathématique ; ISSN 0021-7670. — 2022 — vol. 146, s. 327–350. — Bibliogr. s. 348-350, Abstr. — Publikacja dostępna online od: 2021-12-31. — V. D. Rădulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania
Autorzy (2)
- Jeanjean Louis
- AGHRǎdulescu Vicenţiu
Dane bibliometryczne
| ID BaDAP | 145004 |
|---|---|
| Data dodania do BaDAP | 2023-01-31 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11854-021-0170-7 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp | |
| Czasopismo/seria | Journal d'Analyse Mathématique (Jerusalem) |
Abstract
We are concerned with a class of second order quasilinear elliptic equations driven by a nonhomogeneous differential operator introduced by C.A. Stuart [22] and whose study is motivated by models in Nonlinear Optics. We establish sufficient conditions for the existence of at least one or two non-negative solutions. Our analysis considers the cases when the reaction has either a sublinear or a linear growth. In the sublinear case, we also prove a nonexistence property. The proofs combine energy estimates and variational methods.