CONVERGENCE OF SOLUTIONS OF BILATERAL PROBLEMS IN VARIABLE DOMAINS AND RELATED QUESTIONS

CONVERGENCE OF SOLUTIONS OF BILATERAL PROBLEMS IN VARIABLE DOMAINS AND RELATED QUESTIONS

We discuss some results on the convergence of minimizers and minimum values of integral and more general functionals on sets of functions defined by bilateral constraints in variable domains. We consider the case of regular constraints, i.e., constraints lying in the corresponding Sobolev space, and...

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Bibliographic Details
Main Author: Alexander A. Kovalevsky
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2017-12-01
Series:Ural Mathematical Journal
Subjects:
Integral functional, Bilateral problem, Minimizer, Minimum value, \(\Gamma\)-convergence of functionals, Strong connectedness of spaces, \(\mathcal H\)-convergence of sets, Exhaustion condition
Online Access:https://umjuran.ru/index.php/umj/article/view/95
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