Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T08:38:07.407Z Has data issue: false hasContentIssue false
  • English
  • Français

ON EIGENVALUE PROBLEMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIES

Published online by Cambridge University Press:  28 July 2008

Zhenhai Liu  and
Guifang Liu
Zhenhai Liu
Affiliation:
Department of Mathematics, Central South University, Changsha, Hunan 410075, China ([email protected])
Guifang Liu
Affiliation:
Department of Mathematics, Hunan City University, Yiyang, Hunan 413049, China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper is devoted to the Dirichlet problem for quasilinear elliptic hemivariational inequalities at resonance as well as at non-resonance. Using Clarke's notion of the generalized gradient and the property of the first eigenfunction, we also build a Landesman–Lazer theory in the non-smooth framework of quasilinear elliptic hemivariational inequalities.

Keywords

Primary 35B3447J2049J4065N25elliptic hemivariational inequalitygeneralized Clarke subdifferentialpseudo-monotone operatorexistence of solutions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 2 , June 2008 , pp. 407 - 419
Copyright
Copyright © Edinburgh Mathematical Society 2008