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Elastic contact problem with Coulomb friction and normal compliance in Orlicz spaces

Institution:	1. Czech Academy of Sciences, Institute of Mathematics, Žitná 25, 115 67 Praha 1, Czech Republic;2. Department of Mathematics and Statistical Sciences & Department of Mechanical, Energy and Industrial Engineering, Botswana International University of Science and Technology, Palapye, Botswana;3. Centro de Investigación en Creatividad y Educación Superior, Universidad de Santiago de Chile, Santiago, Chile;1. College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, 610225, Sichuan Province, PR China;2. Jagiellonian University in Krakow, Faculty of Mathematics and Computer Science, Chair of Optimization and Control, ul. Lojasiewicza 6, 30348 Krakow, Poland;1. Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil;2. Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3, Canada

Abstract:	A static contact problem for inhomogeneous elastic materials is studied with a non-polynomial growth of the elasticity under the Coulomb’s law of dry friction and the normal compliance condition. We demonstrate the results on existence and uniqueness of a solution to an abstract subdifferential inclusion and a variational–hemivariational inequality in the reflexive Orlicz–Sobolev space which are applied to the static elastic frictional problem.

Keywords:	Elastic materials Frictional contact Variational–hemivariational inequality Pseudomonotone operator Orlicz space
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