CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Ph.D.(2020), M.Sc.(2016) and B.Sc.(2013) in Mathematics for the University of Campinas, with exchange period (2018-2019) at University of Milan (Italy). Main interests: Partial Differential Equations and Non-Linear Funcional Analysis. (Source: Lattes Curriculum)
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The focus of the project is the study of solutions of elliptic differential partial equations and systems and its properties, such as existence, multiplicity and regularity. Some important techniques that emerge naturally from these problems will be studied and applied to a specific problem. The principal tools are: variational methods (e.g. The Mountain Pass Theorem) and topological met…
The project aims to study mathematical aspects of fluid dynamics, with the main objective to understand the relationship between viscous and ideal fluids. In this sense will be of interest to study the boundary layer theory. The student will write a monograph about the subject.(AU)
Trudinger-Moser inequality deals with the critical case of the Sobolev embedding: if p=n, \Omega \subset R^n is a C^{1} and bounded domain and u \in W_{0}^{1,p}(\Omega), then for any \alpha > 0, e^{\alpha |u|^q} \in L^{1}(\Omega), for q = \frac{n}{n-1}. It was showed by J. Moser that if \alpha \leq n \omega_{n-1}^{1/n-1}, the supremum (taken over the unit ball of W_{0}^{1,p}(\Omega)) of t…
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