On a convex combination of solutions to elliptic variational inequalities
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/30/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |