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On a convex combination of solutions to elliptic variational inequalities

By Mahdi Boukrouche and Domingo A. Tarzia


Let $u_{g_i}$ the unique solutions of an elliptic variational inequality with second member $g_i$ ($i=1,2$). We establish necessary and sufficient conditions for the convex combination $t u_{g_1}+ (1-t) u_{g_2}$, to be equal to the unique solution of the same elliptic variational inequality with second member $t g_1+ (1-t) g_2$. We also give some examples where this property is valid

Topics: Elliptic variational inequalities, convex combination of its solutions., Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Texas State University
Year: 2007
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