CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor in Mathematics at Universidade Estadual de Maringá, Brazil, in 2003. Ph.D. in Mathematics at Universidade Estadual de Campinas, Brazil, in 2007. Postdoc position at Universidade de Campinas, Brazil, from October/2007 to March/2008; Postdoc position at Université Paris VI, France, from April/2008 to March/2009. Postdoc position at Universidade de Campinas, Brazil, from April/2009 to November/2009. Since December/2009 I have an assistant professor position at ICMC-USP in São Carlos, Brazil. My research is focused in Nonlinear Functional Analysis and Partial Differential Equations. (Source: Lattes Curriculum)
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This project is dedicated to the study of problems involving partial differential equations (PDEs) of elliptic and evolution type, which may include non-local terms. It points questions about the existence and multiplicity and also about qualitative properties, such as symmetry, bifurcation, decay, energy, unique continuation principles, concentration, blow up, and stability of solutions …
(Only some records are available in English at this moment)
This project aims to study a class of fourth-order ordinary differential equations that arise in modeling some problems from physics and mechanics, such as the study of traveling waves for the beam equation and certain models of bridge oscillations. The candidate will develop the skills to determine the existence and analyze the qualitative properties of special classes of solutions to th…
This project proposes the investigation of qualitative properties of solutions of elliptic partial differential equations, such as symmetry, optimal decay, stability, mainly associated with standing wave solutions for the Hartree and Schrödinger equations.
Variational methods are one of the main tools for dealing with problems in the nonlinear theory of differential equations. The main purpose of this project is to show how this is done. The main idea is the formulation of an equivalent variational problem. The variational problem consists of obtaining critical points for the functional associated to the differential equation. This idea ap…
(Only some records are available in English at this moment)
This project proposes two lines of study, both establishing links between the areas of Analysis and Geometry/Topology. We will begin by investigating optimization problems in geometry, highlighting the importance of symmetry in solving these problems. In the second part we will study the Brouwer topological degree, an essential tool for studying the topological degree according to Leray-S…
The goal of this project is to study Partial Differential Equations (PDEs). In particular, we are interested in regularity theory for degenerate equations and free boundaries related to transmission problems. The present project consists in the study of some important classes of problems: first, we study fully nonlinear degenerate equations, whose aim is to prove global regularity in Sobo…
In this project we study properties of existence, non-existence, multiplicity and regularity of the viscosity solutions of some classes of elliptic problems with quadratic growth in the gradient. We propose a qualitative study of the solutions of equations of second and fourth orders, as well as of systems of equations of second order, aiming the characterization of the continuum of solut…
(Only some records are available in English at this moment)
In this project we study properties of symmetry, existence, nonexistence, multiplicity and regularity of solutions of some classes of nonlinear elliptic problems with linear and superlinear growth in the gradient. We propose a study on the qualitative properties of the solutions for some relevant equations and systems, up to fully nonlinear structure, by exploiting the phenomena of symmet…
This project is addressed to research about questions on existence, multiplicity and qualitative properties of solutions of some classes of problems involving elliptic equations of second and fourth orders as well as systems of elliptic equations of second order. In particular, a special attention will be devoted to the study of qualitative properties, specially concentration and symmetry…
| 1 / 1 | Ongoing grants |
| 9 / 8 | Completed research grants |
| 4 / 4 | Ongoing scholarships in Brazil |
| 7 / 5 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 23 / 20 | All research grants and scholarships |
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