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

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• 作者：Yong Huang ; Zhenhai Liu ; Stanislaw Mig贸rski
• 关键词：Boundary elliptic hemivariational inequality ; Generalized Clarke subdifferential ; Pseudomonotone operator ; Existence of solutions ; Frictional contact problem ; 35B34 ; 47J20 ; 49J40 ; 65N25
• 刊名：Acta Applicandae Mathematicae
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：138
• 期：1
• 页码：153-170
• 全文大小：1,074 KB
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• 作者单位：Yong Huang (1)
  Zhenhai Liu (2)
  Stanislaw Mig贸rski (3)
  
  1. Department of Mathematics, Baise University, Baise, 533000, Guangxi Province, P.R. China
  2. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, Nanning, 530006, Guangxi Province, P.R. China
  3. Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Lojasiewicza 6, 30-348, Krakow, Poland
  
• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036

文摘

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