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Nonlinear hemivariational inequalities at resonance

Published online by Cambridge University Press:  17 April 2009

Leszek Gasiński  and
Nikolaos S. Papageorgiou
Leszek Gasiński
Affiliation:
Jagellonian UniversityInstitute of Computer Scienceul. Nawojki 1130072 CracowPoland e-mail: gasinski@softlab.ii.uj.edu.pl
Nikolaos S. Papageorgiou
Affiliation:
National Technical UniversityDepartment of MathematicsZografou CampusAthens 15780Greece e-mail: npapg@math.ntua.gr
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Abstract

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In this paper we consider nonlinear hemivariational inequalities involving the p-Laplacian at resonance. We prove the existence of a nontrivial solution. Our approach is variational based on the critical point theory for nonsmooth, locally Lipschitz functionals due to Chang.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 353 - 364
Copyright
Copyright © Australian Mathematical Society 1999

References

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