On a class of saddle point problems and convergence results

On a class of saddle point problems and convergence results

We consider an abstract mixed variational problem consisting of two inequalities. The first one is governed by a functional φ, possibly non-differentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the s...

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Bibliographic Details
Main Authors: Mariana Chivu Cojocaru, Andaluzia Matei
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2020-10-01
Series:Mathematical Modelling and Analysis
Subjects:
mixed variational problem
penalty term
saddle point
convergence result
Online Access:https://www.bjrbe.vgtu.lt/index.php/MMA/article/view/11140
Description
Summary:We consider an abstract mixed variational problem consisting of two inequalities. The first one is governed by a functional φ, possibly non-differentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the solution by means of the saddle point theory. In addition to existence and uniqueness results, we deliver convergence results for ǫ → 0. Finally, we illustrate the abstract results by means of two examples arising from contact mechanics.
ISSN:1392-6292
1648-3510

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