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2007, 2007(Special): 221-229. doi: 10.3934/proc.2007.2007.221

Comparison results for a class of quasilinear evolutionary hemivariational inequalities

Siegfried Carl 1,

1. 

Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany

Received  September 2006 Revised  March 2007 Published  September 2007

We consider a class of quasilinear evolutionary hemivariational inequalities under nonmonotone multivalued flux boundary conditions. Our main goal is to provide existence and comparison results in terms of appropriately defined sub- and supersolutions on the basis of which one can prove compactness and extremality results of the solution set within the sector of sub- and supersolutions.
Keywords: comparison, extremal solution, Evolutionary hemivariational inequality, sub-supersolution, compactness..
Mathematics Subject Classification: Primary: 35K55, 47H04, 47J35; Secondary: 35R7.
Citation: Siegfried Carl. Comparison results for a class of quasilinear evolutionary hemivariational inequalities. Conference Publications, 2007, 2007 (Special) : 221-229. doi: 10.3934/proc.2007.2007.221
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