A Class of Variational Inequalities without Convexity

Stanislaw Migorski

Faculty of Mathematics and Computer Science,Jagiellonian University

Time: 10:00-11:00 am, May 10

Venue：A1-503, Main Building

Abstract

The presentation consists of two parts. First, we provide an example of the contact problem in theory of elasticity which illustrates how to deal with a nonconvex potential contact boundary condition. We discuss the classical formulation of the destruction support problem, give examples of subdifferential boundary conditions, and provide the weak form of the contact model.In the second part of the talk, we treat abstract variational-hemivariational inequalities in a reflexive Banach space. Results on existence, uniqueness and continuous dependence on the data are discussed. As an alternative methodto prove existence of solution, we present a penalty method. Finally, we deliver other motivations and applications of results for the abstract problem.

Brief Biography:

Professor Stanislaw Migorski, Full and Chair Professor of Mathematical Sciences at the Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow (JUK), Poland, is a world-leading expert for nonlinear, nonconvex, and nonsmooth analysis. He was a director, principal investigator, and coordinator of more than twenty five scientific successfully completed research projects funded by the Polish Academy of Sciences, Poland, the State Committee for Scientific Research of the Republic of Poland, the Government of the People's Republic of China, the Government of the Republic of Poland, the National Science Centre of Poland, the Ministry of Science and Higher Education of Poland, and the Marie Curie International Research Staff Exchange Scheme of the European Union. He has visited many countries and regions such as the United States, Europe, P.R. China, Australia, Hong Kong, etc. He was invited to many international academic conferences and lectures to make academic reports and long or short lectures at many universities around the globe. He is a well-known world expert and he has a well-established international cooperation. He was a co-organizer and a member of scientific committees at 53 international conferences, workshops, symposia, and congresses. More than 120 invited, plenary and keynote lectures and talks at various conferences.