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Elliptic Hemivariational Inequalities with Nonhomogeneous Neumann Boundary Conditions and Their Applications to Static Frictional Contact Problems

Elliptic Hemivariational Inequalities with Nonhomogeneous Neumann Boundary Conditions and Their... This paper is devoted to the existence of solutions for variational–hemivariational inequalities of elliptic type with nonhomogeneous Neumann boundary conditions at resonance as well as at nonresonance. Using the notion of Clarke’s generalized gradient and the property of the first eigenfunction, we also build a Landesman-Lazer theory in the nonsmooth framework of variational–hemivariational inequalities of elliptic type. An application to a static frictional contact problem is provided. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Elliptic Hemivariational Inequalities with Nonhomogeneous Neumann Boundary Conditions and Their Applications to Static Frictional Contact Problems

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media Dordrecht
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-014-9961-5
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to the existence of solutions for variational–hemivariational inequalities of elliptic type with nonhomogeneous Neumann boundary conditions at resonance as well as at nonresonance. Using the notion of Clarke’s generalized gradient and the property of the first eigenfunction, we also build a Landesman-Lazer theory in the nonsmooth framework of variational–hemivariational inequalities of elliptic type. An application to a static frictional contact problem is provided.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 22, 2014

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