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Zbl 1062.49006
Aussel, D.; Hadjisavvas, N.
On quasimonotone variational inequalities.
(English)
[J] J. Optimization Theory Appl. 121, No. 2, 445-450 (2004). ISSN 0022-3239; ISSN 1573-2878/e

Summary: The purpose of this paper is to prove the existence of solutions of the Stampacchia variational inequality for a quasimonotone multivalued operator without any assumption on the existence of inner points. Moreover, the operator is not supposed to be bounded valued. The result strengthens a variety of other results in the literature.
MSC 2000:
*49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
49J53 Set-valued and variational analysis

Keywords: Stampacchia variational inequalities; quasimonotone multivalued operator; existence results

Cited in: Zbl 1095.49007

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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