ANISOTROPIC SINGULAR PERTURBATIONS OF VARIATIONAL INEQUALITIES
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Date
2018-02
Journal Title
Journal ISSN
Volume Title
Publisher
Université de M'sila
Abstract
We consider variational inequalities involving the p{ Laplace operator with anisotropic singular
perturbations where the convex set, on which the problem is de ned, is also subject to perturbations. This
leads to introduce a new convergence of sets, in some suitable sense, conceived from the Mosco convergence and
matching well to the anisotropic singular perturbations. Convergence results and their rates are established.
In order to illustrate the introduced convergence sets, obstacle and elasto-plastic perturbed problems are dealt
with. This allows to go deeper in the analysis of the suggested convergence on concrete sets in Sobolev spaces.
Description
Keywords
Variational inequalities, convergence of convex sets, anisotropic singular perturba- tions, asymptotic behaviour, pLaplacian.