On a convex combination of solutions to elliptic variational inequalities
Date
2007-02-22
Authors
Boukrouche, Mahdi
Tarzia, Domingo A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Let ugi the unique solutions of an elliptic variational inequality with second member gi (i = 1, 2). We establish necessary and sufficient conditions for the convex combination tug1 + (1 - t)ug2, to be equal to the unique solution of the same elliptic variational inequality with second member tg1 + (1 - t)g2. We also give some examples where this property is valid.
Description
Keywords
Elliptic variational inequalities, Convex combination of its solutions
Citation
Boukrouche, M., & Tarzia, D. A. (2007). On a convex combination of solutions to elliptic variational inequalities. <i>Electronic Journal of Differential Equations, 2007</i>(31), pp. 1-10.
Rights
Attribution 4.0 International