Szczegóły publikacji
Opis bibliograficzny
Nonlocal double phase implicit obstacle problems with multivalued boundary conditions / Shengda Zeng, Vicenţiu D. RǍDULESCU, Patrick Winkert // SIAM Journal on Mathematical Analysis ; ISSN 0036-1410. — 2024 — vol. 56 iss. 1, s. 877–912. — Bibliogr. s. 910–912, Abstr. — Publikacja dostępna online od: 2024-01-17. — V. Rǎdulescu - dod. afiliacja: Brno University of Technology, Faculty of Electrical Engineering and Communication, Brno, Czech Republic; Department of Mathematics, University of Craiova, Craiova, Romania; ”Simion Stoilow” Institute of Mathematics, Bucharest, Romania; School of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
Autorzy (3)
- Zeng Shengda
- AGHRǎdulescu Vicenţiu
- Winkert Patrick
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 153821 |
|---|---|
| Data dodania do BaDAP | 2024-06-20 |
| Tekst źródłowy | URL |
| DOI | 10.1137/22M1501040 |
| Rok publikacji | 2024 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | SIAM Journal on Mathematical Analysis |
Abstract
In this paper, we consider a mixed boundary value problem with a nonhomogeneous, nonlinear differential operator (called double phase operator), a nonlinear convection term (a reaction term depending on the gradient), three multivalued terms, and an implicit obstacle constraint. Under very general assumptions on the data, we prove that the solution set of such an implicit obstacle problem is nonempty (so there is at least one solution) and weakly compact. The proof of our main result uses the Kakutani-Ky Fan fixed point theorem for multivalued operators along with the theory of nonsmooth analysis and variational methods for pseudomonotone operators.
