In this paper we find existence results for nonlinear variational inequalities involving a multivalued map. Both the cases of a lower semicontinuous multimap and an upper semicontinuous one are considered. We solve the problem using a linearization device and a suitable continuation principle.
Existence results for nonlinear variational inequalities via topological methods / I. Benedetti; F. Mugelli; P. Zecca. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - STAMPA. - 1504:(2012), pp. 1352-1355. (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009: (ICCMSE 2009) tenutosi a Rhodes, Greece) [10.1063/1.4772181].
Existence results for nonlinear variational inequalities via topological methods
BENEDETTI, IRENE;MUGELLI, FRANCESCO;ZECCA, PIETRO
2012
Abstract
In this paper we find existence results for nonlinear variational inequalities involving a multivalued map. Both the cases of a lower semicontinuous multimap and an upper semicontinuous one are considered. We solve the problem using a linearization device and a suitable continuation principle.
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