Comparison results for a class of quasilinear evolutionary hemivariational inequalities

Siegfried Carl

doi:10.3934/proc.2007.2007.221

Article Contents

2007, Volume 2007: 221-229. Doi: 10.3934/proc.2007.2007.221 open access

This issue Previous Article Relaxation approximation of the Kerr model for the impedance initial-boundary value problem Next Article Strongly damped wave equations in $W^(1,p)_0 (\Omega) \times L^p(\Omega)$

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

Received: September 2006

Revised: March 2007

Published: September 2007

Abstract / Introduction Related Papers Cited by

Abstract

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:

Evolutionary hemivariational inequality,
sub-supersolution,
comparison,
extremal solution,
compactness.

Mathematics Subject Classification: Primary: 35K55, 47H04, 47J35; Secondary: 35R70.

Citation:

Article Metrics

HTML views() PDF downloads(56) Cited by(0)

Comparison results for a class of quasilinear evolutionary hemivariational inequalities

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Comparison results for a class of quasilinear evolutionary hemivariational inequalities

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content