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
bachelor's at Matemática from Universidade Federal de São Carlos (2005), master's at Mathematics from Universidade Estadual de Campinas (2008) and doctorate at Mathematics from Universidade Estadual de Campinas (2011). I have been doing research on Partial Differential Equations area, with focus on semilinear elliptic, variational methods and elliptic equations involving measures. Currently, I have a position at Universidade Federal de São Carlos as associate professor. (Source: Lattes Curriculum)
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The semilinear elliptic problems lie at the heart of the theory of elliptic partial differential equations. A better understanding of these problems results in a deeper knowledge of this theory and permits us to treat more complex problems such as quasilinear problems and elliptic systems. In recent years, there has been a remarkable progress in the theory, however there are still many op…
Since their origins the development of Partial Differential Equations has gone hand in hand with progress in Physics; it has been particulary influenced by the Relativistic Physics. The introduction of adequate tools to deal with the emergent questions were provided by Functional Analysis and the Theories of Measures and the Distributions. Having new function spaces and more powerful resu…
In order to approach Partial Differential Equations, new areas in Mathematics have arisen and been expanded as Functional Analysis, Theory of Measure, and Variational Calculus. Nowadays they are important tools to obtain existence, multiplicity, and bifurcation results for PDEs. A combination of different approaches such as methods from Potential Theory, e.g. Perron's Method and Poincaré'…
In this project, we will study nonsmooth energy functionals associated to semilinear problems. In this situation, the classical techniques of variational methods do not apply. To overcome this difficulty, by using the differentiability in some directions, we will construct pseudo-gradient flows for these functionals and do a analysis, with the aim of to finding critical points. In this wa…
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| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 2 | Completed scholarships in Brazil |
| 6 / 5 | All research grants and scholarships |
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