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...
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Texas State University
2007-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/30/abstr.html |
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doaj-30938913f69949e69eb737894dbf073c2020-11-24T23:27:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-02-0120073019On a convex combination of solutions to elliptic variational inequalitiesMahdi BoukroucheDomingo A. TarziaLet $u_{g_i}$ 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.http://ejde.math.txstate.edu/Volumes/2007/30/abstr.htmlElliptic variational inequalitiesconvex combination of its solutions. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mahdi Boukrouche Domingo A. Tarzia |
| spellingShingle |
Mahdi Boukrouche Domingo A. Tarzia On a convex combination of solutions to elliptic variational inequalities Electronic Journal of Differential Equations Elliptic variational inequalities convex combination of its solutions. |
| author_facet |
Mahdi Boukrouche Domingo A. Tarzia |
| author_sort |
Mahdi Boukrouche |
| title |
On a convex combination of solutions to elliptic variational inequalities |
| title_short |
On a convex combination of solutions to elliptic variational inequalities |
| title_full |
On a convex combination of solutions to elliptic variational inequalities |
| title_fullStr |
On a convex combination of solutions to elliptic variational inequalities |
| title_full_unstemmed |
On a convex combination of solutions to elliptic variational inequalities |
| title_sort |
on a convex combination of solutions to elliptic variational inequalities |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2007-02-01 |
| description |
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. |
| topic |
Elliptic variational inequalities convex combination of its solutions. |
| url |
http://ejde.math.txstate.edu/Volumes/2007/30/abstr.html |
| work_keys_str_mv |
AT mahdiboukrouche onaconvexcombinationofsolutionstoellipticvariationalinequalities AT domingoatarzia onaconvexcombinationofsolutionstoellipticvariationalinequalities |
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1725552376166744064 |