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Perturbation of nonlinear partial differential variational inequalities, II†

Published online by Cambridge University Press:  14 November 2011

Elena Stroescu
Elena Stroescu
Affiliation:
Institute of Mathematics, Bucharest
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Synopsis

This paper is devoted to the study of the weak respectively strong convergence of solutions of a variational inequality, with nonlinear partial differential operators of the generalized divergence form and of semimonotone type, under a perturbation of the domain of definition. In this study we use abstract convergence theorems given by Stroescu and Vivaldi, convergence concepts defined according to Stummel and compactness theorems of the natural imbedding of the Cartesian product of Sobolev spaces into the direct sum of Lp spaces, also by Stummel.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 1-2 , 1978 , pp. 153 - 170
Copyright
Copyright © Royal Society of Edinburgh 1978

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