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.
News published in Agência FAPESP Newsletter about the scholarship: