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Article

On Well-Posedness of Some Constrained Variational Problems

Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Academic Editor: Simeon Reich
Mathematics 2021, 9(19), 2478; https://doi.org/10.3390/math9192478
Received: 20 September 2021 / Revised: 29 September 2021 / Accepted: 1 October 2021 / Published: 4 October 2021
(This article belongs to the Special Issue Variational Problems and Applications)
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. View Full-Text
Keywords: constrained variational problem; well-posedness; multiple integral functional constrained variational problem; well-posedness; multiple integral functional
MDPI and ACS Style

Treanţă, S. On Well-Posedness of Some Constrained Variational Problems. Mathematics 2021, 9, 2478. https://doi.org/10.3390/math9192478

AMA Style

Treanţă S. On Well-Posedness of Some Constrained Variational Problems. Mathematics. 2021; 9(19):2478. https://doi.org/10.3390/math9192478

Chicago/Turabian Style

Treanţă, Savin. 2021. "On Well-Posedness of Some Constrained Variational Problems" Mathematics 9, no. 19: 2478. https://doi.org/10.3390/math9192478

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