Szczegóły publikacji
Opis bibliograficzny
Multiple and nodal solutions for parametric Dirichlet equations driven by the double phase differential operator / Li Cai, Nikolaos S. Papageorgiou, Vicenţiu D. RǍDULESCU // Complex Analysis and Operator Theory ; ISSN 1661-8254. — 2023 — vol. 17 iss. 5 art. no. 62, s. 1–28. — Bibliogr. s. 27–28, Abstr. — Publikacja dostępna online od: 2023-06-21. — V. D. Rǎdulescu – dod. afiliacje: Brno University of Technology, Czech Republic ; University of Craiova, Romania ; Zhejiang Normal University, China
Autorzy (3)
- Cai Li
- Papageorgiou Nikolaos S.
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 150308 |
|---|---|
| Data dodania do BaDAP | 2024-01-03 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11785-023-01379-z |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Complex Analysis and Operator Theory |
Abstract
We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.