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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
Ph.D. in Mathematics from the Graduate Program of the Institute of Biosciences, Letters and Exact Sciences at São Paulo State University Júlio de Mesquita Filho (UNESP), São José do Rio Preto campus, in a joint-cotutelle program with the University of Seville, Spain. Holds a Masters degree in Applied and Computational Mathematics (2021) and a Bachelors degree in Mathematics (2019), both from UNESP, Presidente Prudente campus. Served as a scholarship holder in the OBMEP na Escola Program, promoted by IMPA with support from CAPES, and as an undergraduate research fellow funded by FAPESP, conducting studies in Analysis.His research focuses on Elliptic Partial Differential Equations, with an emphasis on Topological Methods, such as Bifurcation Theory, Sub-Supersolution Methods, and Maximum Principles. He is particularly dedicated to problems motivated by Population Dynamics, investigating how ecological interactions, spatial diffusion, and nonlocal effects influence species persistence, coexistence, and spatial distribution patterns. (Source: Lattes Curriculum)
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In this Postdoctoral project, we propose the study of nonlinear elliptic Partial Differential Equations involving operators with different degrees of homogeneity, with particular focus on the (1,q)-Laplacian operator, which combines the 1-Laplacian and the q-Laplacian. The proposal arises from the observation that, although the (p,¿q)-Laplacian operator has been extensively studied, the c…
In this project we propose an introductory study of the main results in Functional Analysis. First of all the student is going to study several topics in Metric Spaces, which will be the basis to proceed to the study of the main topics in Functional Analysis. We propose studying normed vectorial spaces, topological results that allow us to state the Baire Theorem and its consequences. To …
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