Existence of the solution of classical smoothing problems with obstacles and weights

We show that classical smoothing problems with obstacles and weights have always the solution. These problems are considered in quite general case, namely, we allow arbitrary dimension of variable and arbitrary degree in derivative part of functional to minimize. While the existence is proved witho...

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Bibliographic Details
Main Authors: Evely Leetma, Peeter Oja
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2012-02-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4824