Mahdi Boukrouche, Domingo A. Tarzia
Let the unique solutions of an elliptic variational inequality with second member (). We establish necessary and sufficient conditions for the convex combination , to be equal to the unique solution of the same elliptic variational inequality with second member . We also give some examples where this property is valid.
Submitted September 15, 2006. Published February 22, 2007.
Math Subject Classifications: 35R35.
Key Words: Elliptic variational inequalities; convex combination of its solutions.
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| Mahdi Boukrouche |
Laboratory of Mathematics, University of Saint-Etienne
23 rue du Dr Paul Michelon
Saint-Etienne, 42023, France
Phone: 33 4 77 48 15 35; fax: 33 4 77 25 60 71
| Domingo A. Tarzia |
Departamento Matemática - CONICET
FCE, Univ. Austral
Paraguay 1950, S2000FZF Rosario, Argentina
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