Existence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued terms
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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.
CitationZeng, S., Bai, Y., Gasinski, L., & Krech, I. (2021). Existence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued terms. Electronic Journal of Differential Equations, 2021(37), pp. 1-18.
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