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On boundary variational–hemivariational inequalities of elliptic type

Published online by Cambridge University Press:  30 March 2010

Zhenhai Liu
Zhenhai Liu
Affiliation:
Faculty of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, People's Republic of China (zhhliu100@gmail.com)
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Abstract

This paper investigates the existence of solutions for boundary variational–hemivariational inequalities of elliptic type at resonance as well as at non-resonance. Using the notion of the generalized gradient of Clarke and the property of the first eigenfunction, we also build a Landesman–Lazer theory in the non-smooth framework of variational–hemivariational inequalities of elliptic type.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 2 , April 2010 , pp. 419 - 434
Copyright
Copyright © Royal Society of Edinburgh 2010

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