Variational and topological methods in nonlinear elliptic equations
| Grant number: | 13/22044-0 |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | March 01, 2014 |
| Effective date (End): | February 28, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Francisco Odair Vieira de Paiva |
| Grantee: | Jose Miguel Mendoza Aranda |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Associated scholarship(s): | 15/14776-6 - Superlinear Elliptic Problems of the Ambrosetti-Prodi type, BE.EP.DR |
Abstract The central theme of this project is to study the existence and multiplicity of solutions for various classes of nonlinear elliptic problems (equations ordinary differential equationspartial and systems of equations). To solve such problems it is intended to combine variational techniques (critical theory, theorems link) and topological (Morse theory, degree topological); and techniques from the study of differential equations: sub-super-solutions, a priori estimates, among others.Many of the issues to be presented are based on papers that published in recent years. Of course in mathematical research, many questions related to possible generalizations of the results were open. We aim to answer some of these issues. | |
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