Szczegóły publikacji
Opis bibliograficzny
Nodal solutions for the nonlinear Robin problem in Orlicz spaces / Anouar Bahrouni, Hlel Missaoui, Vicenţiu D. RĂDULESCU // Nonlinear Analysis : Real World Applications ; ISSN 1468-1218. — 2025 — vol. 81 art. no. 104186, s. 1–29. — Bibliogr. s. 29, Abstr. — Publikacja dostępna online od: 2024-08-12. — V. D. Rǎdulescu - dod. afiliacje: University of Craiova, Craiova, Romania ; Brno University of Technology, Brno, Czech Republic ; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania ; Zhejiang Normal University, Zhejiang, China
Autorzy (3)
- Bahrouni Anouar
- Missaoui Hlel
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 156834 |
|---|---|
| Data dodania do BaDAP | 2024-12-12 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.nonrwa.2024.104186 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Nonlinear Analysis : Real World Applications |
Abstract
In this paper we consider a non-linear Robin problem driven by the Orlicz g-Laplacian operator. Using variational technique combined with a suitable truncation and Morse theory (critical groups), we prove two multiplicity theorems with sign information for all the solutions. In the first theorem, we establish the existence of at least two non-trivial solutions with fixed sign. In the second, we prove the existence of at least three non-trivial solutions with sign information (one positive, one negative, and the other change sign) and order. The result of the nodal solution is new for the non-linear g-Laplacian problems with the Robin boundary condition.
