Szczegóły publikacji

Opis bibliograficzny

Anisotropic and isotropic implicit obstacle problems with nonlocal terms and multivalued boundary conditions / Shengda Zeng, Leszek Gasiński, Vicenţiu D. RǍDULESCU, Patrick Winkert // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704. — 2023 — vol. 118 art. no. 106997, s. 1–34. — Bibliogr. s. 33–34, Abstr. — Publikacja dostępna online od: 2022-11-14. — V. D. Rǎdulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academiei, Bucharest, Romania


Autorzy (4)


Słowa kluczowe

mixed boundary conditionsexistence and compactnessimplicit obstacleconvex subdifferentialmulti-valued mappingTychonoff's fixed point theoremconvection termanisotropic elliptic problemClarke's generalized gradient

Dane bibliometryczne

ID BaDAP144817
Data dodania do BaDAP2023-01-27
Tekst źródłowyURL
DOI10.1016/j.cnsns.2022.106997
Rok publikacji2023
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaCommunications in Nonlinear Science & Numerical Simulation

Abstract

In this paper we study an anisotropic implicit obstacle problem driven by the (p(⋅),q(⋅))-Laplacian and an isotropic implicit obstacle problem involving a nonlinear convection term (a reaction term depending on the gradient) which contain several interesting and challenging untreated problems. These two implicit obstacle problems have both highly nonlinear and nonlocal functions and three multivalued terms where two of them are appearing on the boundary and the other one is formulated in the domain. Under very general assumptions on the data, we develop general frameworks to examine the nonemptiness and compactness of the set of weak solutions to the problems under consideration. The proofs of our main results use the theory of nonsmooth analysis, Tychonoff's fixed point theorem for multivalued operators, the theory of pseudomonotone operators and variational approach. © 2022 Elsevier B.V.

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artykuł
Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions / Shengda Zeng, Vicenţiu D. RĂDULESCU, Patrick Winkert // SIAM Journal on Mathematical Analysis ; ISSN 0036-1410. — 2022 — vol. 54 iss. 2, s. 1898–1926. — Bibliogr. s. 1923–1926, Abstr. — Publikacja dostępna online od: 2022-03-31. — V. D. Rădulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Craiova, Romania
artykuł
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