CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Licenciatura Em Matematica from Facudade de Filosofia Ciencias e Letras de Dracena (1975), master's at Mathematics from Universidade de Brasília (1981) and ph.d. at Mathematics from Universidade de Brasília (1987). Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: quasilinear, multiplicity, existencia, critical exponents and assintotico. (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 …
In this research project we intent to develop results of existence and multiplicityof solutions, as well as to do a qualitative study, to elliptic problems involving theFinsler pLaplacian operator H_p u = div (a(u)), where a(¾) = H^p1(¾)H(¾)for all ¾ R^N , and H(·) in a norm in R^N , this type of operator is classified as a anisotropic operator and it has attracted the attention of impor…
The nonlinear logarithmic Schrodinger equations have important application backgrounds and are frontier problems in the field of nonlinear analysis, which have received extensive attention in recent years. In this proposal, we shall propose to mainly study the logarithmic nonlinear Schrodinger equations including fractional Laplacian cases. Through the research of these projects, we expec…
(Only some records are available in English at this moment)
This project studies classes of prescribed elliptical problems, without periodicity and symmetry, in relation to the existence and multiplicity of positive and nodal solutions (solutions that change sign). The prototype of the problem is Schrödinger's stationary equation-\Delta u+a(x)u=f(u),u \in H^1(R^N), where 0\leq a \in C(R^N, R), with decay condition, but not symmetric or periodic, f…
The main objective of this project is to study introductory topics in Variational Inequalities. In this regard, the initial focus of this work will be on the study of Green's Theorem and Gauss's Theorem, examining their implications for the calculation of line and surface integrals. Additionally, ordinary and partial differential equations will be explored, applying the mentioned theorems…
Under the basic prerequisites of differential calculus, linear algebra and a notion of differential equations,we can study important mathematical phenomena and their applications. For example, by exploring the technique of analytical functions we can study fluid dynamics and flow.
(Only some records are available in English at this moment)
This project addresses the study of a class of elliptic problems. The investigation focuses on finding solutions to partial differential equations (PDEs) of the form Lu(x) + V(x)u = f(x, u), ýx ©, in a domain © R^n, and some of their properties. Here, Lu(x) is a general elliptic operator, V(x) is a potential, and f(x, u) represents the nonlinearity with critical exponential growth. The…
In this project we present two elliptical Partial Differential Equation problems with a Choquard-type nonlinearity, which is characterized by the convolution between two functions, thus being a nonlocal nonlinearity, that is, it does not depend on the spatial variable. In our case, the first problem we present a Choquard equation related to the Schrodinger-Poisson system, in this case, to…
This project aims to deepen the knowledge of nonlocal and nonstandard growth equations, and will launch a new dialogue for solving some interesting questions related to these topics. This research project constitutes an important step to understanding more complex nonlocal equations, where there is a nonlocal and non-standard growth operator instead of the Laplacian. The suitable operator…
(Only some records are available in English at this moment)
In this project we propose the study of questions on existence of solutions of quasilinear elliptic problem, whose nonlinearity is the perturbation of a general singular term, which, in turn, is modeled in the space of functions of bounded variation. Some questions on the study of problems involving the 1-Laplacian operator and its generalizations are arised, in order to apply variational…
| 1 / 1 | Ongoing grants |
| 5 / 5 | Completed research grants |
| 4 / 4 | Ongoing scholarships in Brazil |
| 6 / 6 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 17 / 17 | All research grants and scholarships |
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