Systems of nonlinear hemivariational inequalities and applications
Keywords
Nonlinear hemivariational inequality, set-valued operator, nonsmooth functions, Clarke's generalized gradient, Nash generalized derivative point, piezoelectric bodyAbstract
In this paper we prove several existence results for a general class of systems of nonlinear hemivariational inequalities by using a fixed point theorem of Lin (Bull. Austral. Math. Soc. {\bf 34}, (1986), 107-117). Our analysis includes both the cases of bounded and unbounded closed convex subsets in real reflexive Banach spaces. In the last section we apply the abstract results obtained to extend some results concerning nonlinear hemivariational inequalities, to establish existence results of Nash generalized derivative points and to prove the existence of at least one weak solution for an electroelastic contact problem.Downloads
Published
2013-04-22
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1.
COSTEA, Nicuşor and VARGA, Csaba. Systems of nonlinear hemivariational inequalities and applications. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 1, pp. 39 - 65. [Accessed 4 December 2024].
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