Szczegóły publikacji
Opis bibliograficzny
Double phase implicit obstacle problems with convection term and multivalued operator / Shengda Zeng, Yunru Bai, Nikolaos S. Papageorgiou, Vicenţiu D. RĂDULESCU // Analysis and Applications ; ISSN 0219-5305. — 2023 — vol. 21 no. 4, s. 1013–1038. — Bibliogr. s. 1035–1038, Abstr. — V. Rǎdulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy Calea Grivit, Bucharest, Romania; Brno University of Technology Faculty of Electrical Engineering and Communication, Brno, Czech Republic
Autorzy (4)
- Zeng Shengda
- Bai Yunru
- Papageorgiou Nikolaos S.
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 151696 |
|---|---|
| Data dodania do BaDAP | 2024-02-07 |
| DOI | 10.1142/S0219530523500033 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Analysis and Applications |
Abstract
This paper is devoted to studying a complicated implicit obstacle problem involving a nonhomogenous differential operator, called double phase operator, a nonlinear convection term (i.e. a reaction term depending on the gradient), and a multivalued term which is described by Clarke's generalized gradient. We develop a general framework to deliver an existence result for the double phase implicit obstacle problem under consideration. Our proof is based on the Kakutani-Ky Fan fixed point theorem together with the theory of nonsmooth analysis and a surjectivity theorem for multivalued mappings generated by the sum of a maximal monotone multivalued operator and a bounded pseudomonotone mapping.