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- Title
EXISTENCE OF SOLUTIONS FOR IMPLICIT OBSTACLE PROBLEMS INVOLVING NONHOMOGENEOUS PARTIAL DIFFERENTIAL OPERATORS AND MULTIVALUED TERMS.
- Authors
SHENGDA ZENG; YUNRU BAI; GASINSKI, LESZEK; KRECH, IRENEUSZ
- Abstract
In this article, we study an implicit obstacle problem with a nonlinear nonhomogeneous partial differential operator and a multivalued operator which is described by a generalized gradient. Under quite general assumptions on the data, and employing Kluge's fixed point principle for multivalued operators, Minty technique and a surjectivity theorem, we prove that the set of weak solutions to the problem is nonempty, bounded and weakly closed.
- Subjects
PARTIAL differential operators; NONLINEAR partial differential operators; NONLINEAR equations; SURJECTIONS
- Publication
Electronic Journal of Differential Equations, 2021, Issue 1-104, p1
- ISSN
1550-6150
- Publication type
Article