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EXISTENCE OF WEAK SOLUTIONS FOR A DOUBLE PHASE VARIABLE EXPONENT PROBLEM WITH A GRADIENT DEPENDENT REACTION TERM.
- Source :
-
Miskolc Mathematical Notes . 2023, Vol. 24 Issue 2, p965-979. 15p. - Publication Year :
- 2023
-
Abstract
- In the present paper, we study the existence of at least one weak solution for a class of double phase variable exponent problem with a reaction term depending on the gradient and on two real parameters. By using the topological degree theory for a class of demicontinuous operators of generalized (S+) and the theory of the variable exponent Sobolev spaces, we obtain the existence of at least one weak solution of this problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 24
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 170068760
- Full Text :
- https://doi.org/10.18514/MMN.2023.4119