Existence and comparison results for quasilinear evolution hemivariational inequalities
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Date
2004-04-13
Authors
Carl, Siegfried
Le, Vy K.
Motreanu, Dumitru
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness and extremality results for the hemivariational inequalities under considerations.
Description
Keywords
Evolution hemivariational inequality, Quasilinear, Subsolution, Supersolution, Extremal solution, Existence, Comparison, Compactness
Citation
Carl, S., Le, V. K., Motreanu, D. (2004). Existence and comparison results for quasilinear evolution hemivariational inequalities. <i>Electronic Journal of Differential Equations, 2004</i>(57), pp. 1-17.
Rights
Attribution 4.0 International