This thesis is mainly concerned with problems in the areas of the Calculus of Variations and
Partial Differential Equations (PDEs).
The properties of the functional to minimize with respect to the given topology
play an important role in the existence of minimizers of integral problems. We will introduce
the important concepts of quasiconvexity and polyconvexity. Inspired by finite element methods from Numerical Analysis, we introduce a perturbed problem which has some surprising uniqueness properties.
| Identifer | oai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/53901 |
| Date | 21 September 2015 |
| Creators | Awi, Romeo Olivier |
| Contributors | Gangbo, Wilfrid |
| Publisher | Georgia Institute of Technology |
| Source Sets | Georgia Tech Electronic Thesis and Dissertation Archive |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation |
| Format | application/pdf |
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