On Well-Posedness of Some Constrained Variational Problems

Savin Treanţă
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2021, vol. 9, issue 19, 1-12

Abstract: By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational problems with variational inequality constraints. More specifically, by defining the set of approximating solutions for the class of variational problems under study, we establish several results on well-posedness.

Keywords: constrained variational problem; well-posedness; multiple integral functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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