Szczegóły publikacji
Opis bibliograficzny
Strongly singular double phase problems / Nikolaos S. Papageorgiou, Vicenţiu D. RǍDULESCU, Youpei Zhang // Mediterranean Journal of Mathematics ; ISSN 1660-5446. — 2022 — vol. 19 iss. 2 art. no. 82, s. 1–21. — Bibliogr. s. 19–20, Abstr. — Publikacja dostępna online od: 2022-03-18. — V. D. Rădulescu - dod. afiliacje: University of Craiova, Craiova, Romania ; ”Simion Stoilow” Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- Papageorgiou Nikolaos S.
- AGHRǎdulescu Vicenţiu
- Zhang Youpei
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 139766 |
|---|---|
| Data dodania do BaDAP | 2022-04-11 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00009-022-02013-6 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Mediterranean Journal of Mathematics |
Abstract
We study double phase singular problems with strong singularity and unbounded coefficient (that is, in the singular term u bar right arrowg(x)/u(z)(eta), where eta >= 1 and g(.) is not bounded). First we deal with the purely singular problem. We consider two distinct cases. In the first one, we assume that eta = 1 and the double phase operator ((p, q)-Laplacian with weight) exhibits unbalanced growth. Using modular spaces we prove the existence of a unique positive solution. The second case is when eta > 1 and this is examined in the context of double phase problems with balanced growth. Again we prove the existence of a unique positive solution. Finally, for the second case, we introduce also a superlinear perturbation of the singular term and we prove an existence theorem.
