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ZENG, S. BAI, Y. PAPAGEORGIOU, N. RADULESCU, V.
Originální název
Double phase implicit obstacle problems with convection term and multivalued operator
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Double phase problem;implicit obstacle problem;Clarke's generalized gradient;Kakutani-Ky Fan fixed point theorem;surjectivity theorem;existence of solution
Autoři
ZENG, S.; BAI, Y.; PAPAGEORGIOU, N.; RADULESCU, V.
Vydáno
12. 7. 2023
ISSN
1793-6861
Periodikum
Analysis and Applications
Ročník
21
Číslo
4
Stát
Singapurská republika
Strany od
1013
Strany do
1038
Strany počet
26
URL
https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000944369600001
BibTex
@article{BUT184004, author="Shengda {Zeng} and Yunru {Bai} and Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu}", title="Double phase implicit obstacle problems with convection term and multivalued operator", journal="Analysis and Applications", year="2023", volume="21", number="4", pages="1013--1038", doi="10.1142/S0219530523500033", issn="1793-6861", url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000944369600001" }