A Special Issue on Variational/Hemivariational Inequalities and their Applications

Fluid Mechanics 6 (moonlight), April 5, 2015 | © Courtesy of Le Luxographe/Flickr.
Fluid Mechanics 6 (moonlight), April 5, 2015 | © Courtesy of Le Luxographe/Flickr.

The journal Open Mathematics invites submissions for its topical issue entitled “Variational/Hemivariational Inequalities and their Applications.”


Shengda Zeng, Jagiellonian University, Krakow, Poland


Stanislaw Migorski, Jagiellonian University, Krakow, Poland
Zhenhai Liu
, Guangxi University for Nationalities, Nanning, China
Yuqian Zhou
, Chengdu University of Information Technology, China


In many complicated physical processes and engineering applications, mathematical models of problems are formulated as inequalities instead of more commonly seen equations.

Moreover, inequality problems have undergone, within a very short time, a remarkable development in both pure and applied mathematics as well as in mechanics and engineering sciences, largely because of new and efficient mathematical approaches in this fields or, more generally, in convex analysis and nonsmooth analysis.

Generally speaking, inequality problems can be divided into two main classes: that of variational inequalities, which, with a research “life” of some sixty years now, is mainly concerned with convex energy functions, and that of hemivariational inequalities, which was first introduced and studied by P. D. Panagiotopoulos, since the early 1980s, to handle a variety of engineering problems involving nonmonotone and possibly multivalued constitutive and interface laws for deformable bodies.

This special issue is devoted to new advances and research results on variational/hemivariational inequalities and their applications. It seeks to develop new mathematical tools and methods for the theoretical study of problems for various variational/hemivariational inequalities and apply those theoretical results to solve open problems from our real life, such as, problems in solid mechanics, mechanical impact problems, economical dynamics, dynamic traffic networks, problems in fluid mechanics, and so on.


Potential topics include but are not limited to the following:

  • Nonlinear partial differential equations
  • Variational inequalities
  • Hemivariaitonal inequalities
  • Solid mechanics
  • Control theory
  • Inverse problems
  • Equilibrium problems
  • Fluid mechanics
  • Mathematical programming
  • Fractional differential equations
  • Mathematical modelling
  • Nonlinear phenomena
  • Numerical analysis


All submissions to the special issue must be made electronically at

Before submission, please carefully read the Instructions for Authors. All manuscripts will undergo the standard peer review process (at least two Referees, single-blind).

When entering your submission (via online submission system), please choose the option “Special Issue on Variational/Hemivariational Inequalities”.

Submissions for the special issue will be handled starting on May 1, 2019, while the strict deadline for submission is December 31, 2019.

If you have any questions, please contact Dr. Justyna Żuk, Managing Editor, Justyna.Zuk@degruyter.com.

Edited by Pablo Markin

Featured Image Credits: Fluid Mechanics 6 (moonlight), April 5, 2015 | © Courtesy of Le Luxographe/Flickr.

You may also like...

Search OpenEdition Search

You will be redirected to OpenEdition Search