| Grant number: | 17/16108-6 |
| Support Opportunities: | Regular Research Grants |
| Duration: | November 01, 2017 - October 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Francisco Odair Vieira de Paiva |
| Grantee: | Francisco Odair Vieira de Paiva |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Associated researchers: | Adilson Eduardo Presoto ; Lynnyngs Kelly Arruda Saraiva de Paiva |
Abstract
The central theme of this project is to study the existence and multiplicity of solutions for some classes of nonlinear elliptic problems, originated in the mathematical-physics. To solve these problems, we propose to combine variational and topological techniques; and techniques from the study of differential equations: sub-super solutions, a-priori estimates, Nehari manifold, among others. The proposed problems are based on papers that we published in recent years. As is natural in mathematical research, many questions related to possible generalizations of the results are open. Thus, we intend to try to answer these questions. (AU)
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