CEU Electronic Theses and Dissertations, 2015
| Author | Costea, Nicusor |
|---|---|
| Title | Existence results for some differential inclusions and related problems |
| Summary | The aim of this thesis is to study various nonsmooth variational problems which are governed by set-valued maps such as the Clarke generalized gradient or the convexsubdifferential. The thesis has a strong interdisciplinary character combining results and methods from different areas such as Nonsmooth and Convex Analysis, Set-Valued Analysis, PDE’s, Calculus of Variations, Mechanics of Materials and Contact Mechanics. The problems considered here can be divided into three main classes: boundary value problems involving differential operators subjected to various boundary constraints. Several existence and multiplicity results for such problems are obtained by using mainly variational methods; inequality problems of variational type whose solutions are not necessarily critical points of certain energy functionals. Existence results for some problems of this type are derived by using topological methods such as fixed point theorems for set-valued maps; mathematical models which arise in Contact Mechanics and describe the contact between a body and a foundation. Two such models are investigated. Their variational formulations lead to some hemivariational inequality systems which are solved by using our theoretical results. |
| Supervisor | Morosanu, Gheorghe |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2015/costea_nicusor.pdf |
Visit the CEU Library.
© 2007-2021, Central European University