The present project proposes the study of certain elliptic differential inclusion problems, as well as a class of hemivariational inequalities defined on unbounded domains and on Riemann manifolds by using recent variational methods. This study is motivated by several nonsmooth phenomena which appear in the nature, for instance, in fluid mechanics, quantum mechanics and the theory of fields. These problems lead us to differential inclusions (hemivariational inequalities) in various frameworks. The following two types of problems will be treated:
In both cases the solutions will be found as critical points of the energy functional associated to the studied problem, they represent the equilibrium states of certain mechanical systems. In the case of quantum mechanics and the theory of fields, these problems describe the elementary particles' state, when the energy level varies. In order to achieve the theoretical results, we will apply recent variational methods, such as the nonsmooth version of the principle of symmetric criticality, as well the variational principles of Ricceri. Our purpose is to discuss the existence, multiplicity and the asymptotical behavior of the solutions. These problems will be considered on unbounded domains and on Riemann manifolds in both cases A and B.
|Project manager:||Assoc. Prof. Dr. Hannelore Lisei|
|Experienced researcher:||Prof. Dr. Csaba Varga (Curriculum Vitae, List of Publications)|
|Assoc. Prof. Dr. Alexandru Kristály (Curriculum Vitae, List of Publications)|
|Young researcher:||Dr. Ioana Lazăr (Curriculum Vitae, List of Publications) member in the team in the period 01.06.2009 – 31 .05.2010|
|Andrea-Éva Molnár (PhD Student, Curriculum Vitae, List of Publications) member in the team since 01.06.2010|