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| Author(s): |
Caroline de Arruda Signorini
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São José do Rio Preto. 2017-03-23. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2017-03-07 |
| Advisor: | Valeriano Antunes de Oliveira |
| Abstract | |
Our main purpose in this work is the study of necessary and sufficient optimality conditions for Calculus of Variations problems in the nonsmooth context. This study will comprehend the smooth basic formulation, constrained problems (with Lagrangian restrictions), non-smooth Lagrangians and absolutely continuous solutions. Moreover, we will approach an important advance in Calculus of Variations theory: the existence and regularity of solutions. In addition to necessary conditions, we will analyze sufficient conditions through a generalized convexity concept, which we called E-pseudoinvexity. (AU) | |
| FAPESP's process: | 14/24271-6 - Optimality conditions in calculus of variations in the non-smooth context |
| Grantee: | Caroline de Arruda Signorini |
| Support Opportunities: | Scholarships in Brazil - Master |