-------------------Description--------------------  The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems without friction.     Much of this monograph emerged from the authors' research activities over the past 10 years and deals with an approach proven fruitful in many situations. Starting from thin estimates of possible solutions, this approach is based on an approximation of the problem and the proof of a moderate partial regularity of the solution to the approximate problem. This in turn makes use of the shift (or translation) technique - an important yet often overlooked tool for contact problems and other nonlinear problems with limited regularity. The authors pay careful attention to quantification and precise results to get optimal bounds in sufficient conditions for existence theorems.    Unilateral Contact Problems: Variational Methods and Existence Theorems a valuable resource for scientists involved in the analysis of contact problems and for engineers working on the numerical approximation of contact problems. Self-contained and thoroughly up to date, it presents a complete collection of the available results and techniques for the analysis of unilateral contact problems and builds the background required for further research on more complex problems in this area.  ---------------------Features---------------------  · Provides a comprehensive overview of the mathematical analysis of unilateral contact problems with friction and dynamic contact problems  without friction  · Extends the available literature well beyond the simpler, often static, and directly solvable problems typically addressed  · Includes a review of the relevant results in nonlinear analysis and the theory of function spaces, with emphasis on interpolation, imbedding, and trace theorems  · Quantifies precisely all important constants arising in existence theorems and provides precise formulae or graphs for required conditions on coefficients of friction  ---------------------Contents---------------------  PREFACE  INTRODUCTION  Notations  Linear Elasticity  Formulation of Contact Problems  Variational Principles in Mechanics  The Static Contact Problem  Geometry of Domains  The Method of Tangential Translations  BACKGROUND  Fixed Point Theorems  Some General Remarks  Crash Course in Interpolation  Besov and Lizorkin-Triebel Spaces  The Potential Spaces  Vector-Valued Sobolev and Besov Spaces  Extensions and Traces  Spaces on Domains  STATIC AND QUASISTATIC CONTACT PROBLEMS  Coercive Static Case  Semicoercive Contact Problem  Contact Problems for Two Bodies  Quasistatic Contact Problem  DYNAMIC CONTACT PROBLEMS  A Short Survey About Results for Elastic Materials  Results for Materials With Singular Memory  Viscoelastic Membranes  Problems With Given Friction  DYNAMIC CONTACT PROBLEMS WITH COULOMB FRICTION  Solvability of Frictional Contact Problems  Anisotropic Material  Isotropic Material  Thermo-Viscoelastic Problems  BIBLIOGRAPHY  LIST OF NOTATION  SUBJECT INDEX

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