Geodesic
On a convex combination of solutions to elliptic variational inequalities
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 35R35
Keywords: elliptic variational inequalities, convex combination of its solutions 
@article{EJDE_2007__2007__a145,
     author = {Boukrouche, Mahdi and Tarzia, Domingo A.},
     title = {On a convex combination of solutions to elliptic variational inequalities},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a145/}
}
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Boukrouche, Mahdi; Tarzia, Domingo A. On a convex combination of solutions to elliptic variational inequalities. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a145/