Szczegóły publikacji
Opis bibliograficzny
Singular non-autonomous (p, q)-equations with competing nonlinearities / Nikolaos S. Papageorgiou, Dongdong Qin, Vicenţiu D. RǍDULESCU // Nonlinear Analysis : Real World Applications ; ISSN 1468-1218. — 2025 — vol. 81 art. no. 104225, s. 1–25. — Bibliogr. s. 25, Abstr. — Publikacja dostępna online od: 2024-09-23. — V. D. Rădulescu - dod. afiliacje: University of Craiova, Craiova, Romania ; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania ; Brno University of Technology, Brno, Czech Republic ; Zhejiang Normal University, Zhejiang, People’s Republic of China
Autorzy (3)
- Papageorgiou Nikolaos S.
- Qin Dongdong
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 159597 |
|---|---|
| Data dodania do BaDAP | 2025-06-06 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.nonrwa.2024.104225 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Nonlinear Analysis : Real World Applications |
Abstract
We consider a parametric non-autonomous (p,q)-equation with a singular term and competing nonlinearities, a parametric concave term and a Carathéodory perturbation. We consider the cases where the perturbation is (p−1)-linear and where it is (p−1)-superlinear (but without the use of the Ambrosetti–Rabinowitz condition). We prove an existence and multiplicity result which is global in the parameter λ>0 (a bifurcation type result). Also, we show the existence of a smallest positive solution and show that it is strictly increasing as a function of the parameter. Finally, we examine the set of positive solutions as a function of the parameter (solution multifunction). First, we show that the solution set is compact in C01(Ω̄) and then we show that the solution multifunction is Vietoris continuous and also Hausdorff continuous as a multifunction of the parameter.
