A Variational Principle for Equations and Inequalities with Maximal Monotone Operators
Eckehard Krauss
Karl-Weierstraß-Institut für Mathematik, Berlin, Germany
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Abstract
Let be given a variational inequality with a monotone operator. We describe the set of solutions by a modified variational principle. This still remains valid if the operator is not a subdifferential of a convex function. It allows a physical interpretation and shows in which sense the monotonicity of the operator leads to "globally stable" solutions of the variational in equality.
Cite this article
Eckehard Krauss, A Variational Principle for Equations and Inequalities with Maximal Monotone Operators. Z. Anal. Anwend. 5 (1986), no. 5, pp. 431–436
DOI 10.4171/ZAA/211