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Zeitschrift für Analysis und ihre Anwendungen


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Volume 5, Issue 5, 1986, pp. 431–436
DOI: 10.4171/ZAA/211

Published online: 1986-10-31

A Variational Principle for Equations and Inequalities with Maximal Monotone Operators

Eckehard Krauss

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.

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Krauss Eckehard: A Variational Principle for Equations and Inequalities with Maximal Monotone Operators. Z. Anal. Anwend. 5 (1986), 431-436. doi: 10.4171/ZAA/211