bachelor's at Bacharelado em Matemática from Universidade Federal de São Carlos (1987), master's at Mathematics from Universidade Estadual de Campinas (1991) and doctorate at Mathematics from Universidade Estadual de Campinas (1998). Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: concentração, sistemas hamiltonianos., problema de dirichlet, problemas elípticos and critical exponent. (Source: Lattes Curriculum)
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This project aims to understand what happens to the inhomogeneous Hopf-Oleinik lemma involving non-uniformly elliptic operators of the quasilinear type. The method to be used is geometric and is based on the development of suitable barriers for these operators. (AU)
In this project we plan to explore the basic and classical ingredients such as Hopf-Ole\u{\i}nik Lemma and interior and up to the boundary gradient estimates for solutions to non-uniformly elliptic equations of quasilinear type that violates the $\Delta_2$ Lieberman's condition introduced in the 90s, allowing the ellipticity to blow up. The typical operator under this condition is given…
This project is dedicated to the study of three problems in Orlicz-Sobolev spaces. The first one is the study of the existence of solution to the critical case of the equation studied in [J. A. Santos, S. H. M. Soares, Radial solutions of quasilinear equations in Orlicz-Sobolev type spaces, J. Math. Anal. Appl. 428 (2015), 1035-1053]. In the second problem we intend to establish the class…
(Only some records are available in English at this moment)
The central theme of this project is to study the existence and multiplicity of solutions for some classes of nonlinear elliptic problems, with origin in the physic-math. 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, among others. The proposed problems…
In this project, we present a study proposal for systems of Schrodinger equations wich are asymptotically linear at infinity. Asymptotically linear at infinity problems arise frequently in the nonlinear optics, and have been the topic of many studies of physicists and mathematicians in the last years. However, such studies are mostly dedicated to the study of the scalar case, i.e., probl…
This project is devoted to study the Klein-Gordon-Maxwell systems. The goal is to prove the existence of positive solutions for Klein-Gordon-Maxwell systems involving a nonlinear term with supercritical growth. Moreover, we intend to establish the existence of sign-changing solutions for Klein-Gordon-Maxwell systems with critical or supercritical growth.
(Only some records are available in English at this moment)
| 9 / 5 | Completed research grants |
| 7 / 6 | Completed scholarships in Brazil |
| 16 / 11 | All research grants and scholarships |
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CV Lattes
ORCID