Advances in Variational and Hemivariational Inequalities

Theory, Numerical Analysis, and Applications

  • Weimin Han
  • Stanisław Migórski
  • Mircea Sofonea

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 33)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Theory

    1. Front Matter
      Pages 1-1
    2. Leszek Gasiński, Nikolaos S. Papageorgiou
      Pages 3-37
    3. Stanisław Migórski, Anna Ochal, Mircea Sofonea
      Pages 39-64
    4. Dumitru Motreanu, Viorica Venera Motreanu
      Pages 65-88
    5. Si-sheng Yao, Nan-jing Huang
      Pages 89-108
  3. Numerical Analysis

    1. Front Matter
      Pages 109-109
    2. Changjie Fang, Shenglan Chen
      Pages 145-171
    3. Mark S. Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, Christiane Tammer, Brian Winkler
      Pages 173-197
    4. Fei Wang, Weimin Han, Jianguo Huang, Tianyi Zhang
      Pages 199-222
  4. Applications

    1. Front Matter
      Pages 223-223
    2. Kevin T. Andrews, Kenneth L. Kuttler, Meir Shillor
      Pages 225-248
    3. Mikael Barboteu, David Danan, Mircea Sofonea
      Pages 249-275
    4. Oanh Chau, Daniel Goeleven, Rachid Oujja
      Pages 277-298
    5. Piotr Kalita, Grzegorz Łukaszewicz
      Pages 299-332
    6. Mircea Sofonea, Stanisław Migórski, Anna Ochal
      Pages 355-380
  5. Back Matter
    Pages 381-383

About this book


Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest results from recognized scholars in this relatively young and rapidly-growing field.

Particularly, readers will find that the volume’s results and analysis present valuable insights into the fields of pure and applied mathematics, as well as civil, aeronautical, and mechanical engineering. Researchers and students will find new results on well posedness to stationary and evolutionary inequalities and their rigorous proofs. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities. Finally, the applications presented illustrate the use of these results in the study of miscellaneous mathematical models which describe the contact between deformable bodies and a foundation. This includes the modelling, the variational and the numerical analysis of the corresponding contact processes.

Furthermore, it can be used as supplementary reading material for advanced specialized courses in mathematical modeling for students with a strong background knowledge on nonlinear analysis, numerical analysis, partial differential equations, and mechanics of continua.


convex analysis evolutionary exclusion hemivariational inequality mathematical modeling nonsmooth analysis variational inequality

Editors and affiliations

  • Weimin Han
    • 1
  • Stanisław Migórski
    • 2
  • Mircea Sofonea
    • 3
  1. 1.University of Iowa, Iowa City, IA, USA and Xi'an Jiaotong UniversiryXi'anChina
  2. 2.Faculty of Mathematics and Computer Scie Institute of Computer ScienceJagiellonian UniversityKrakówPoland
  3. 3.Laboratoire de Mathématiques et Physique (LAMPS)Université de Perpignan Via DomitiaPerpignanFrance

Bibliographic information