Department of Mathematics
Universidade Federal da Paraíba · UFPB
I am currently based in João Pessoa - Paraíba - Brazil, in the Department of Mathematics at UFPB. My research interests include Partial Differential Equations, Calculus of Variations and Geometric Analysis. I have also been engaged in applications of regularity theory for non-linear diffusive processes and free boundary problems arising from geometry, thermodynamics, fluid dynamics, material sciences, financial engineering, among others. Of particular interest are my recent works on degenerate PDEs, which comprise systems in which the diffusion properties of governing operators degenerate along a priori unknown sets.