Publication detail

Double phase implicit obstacle problems with convection term and multivalued operator

ZENG, S. BAI, Y. PAPAGEORGIOU, N. RADULESCU, V.

Original Title

Double phase implicit obstacle problems with convection term and multivalued operator

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Double phase problem;implicit obstacle problem;Clarke's generalized gradient;Kakutani-Ky Fan fixed point theorem;surjectivity theorem;existence of solution

Authors

ZENG, S.; BAI, Y.; PAPAGEORGIOU, N.; RADULESCU, V.

Released

12. 7. 2023

ISBN

1793-6861

Periodical

Analysis and Applications

Year of study

21

Number

4

State

Republic of Singapore

Pages from

1013

Pages to

1038

Pages count

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"
}