Damião Júnio Araújo


Associate Professor
Department of Mathematics
Universidade Federal da Paraíba · UFPB
araujo@mat.ufpb.br

Interests


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.

Published and Accepted papers

Submitted papers



  • Sharp regularity for singular obstacle problems.
    (with R. Teymurazyan and V. Voskanyan)

  • Fully nonlinear dead-core systems.
    (with R. Teymurazyan)

  • Improved boundary and global regularity for degenerate fully nonlinear elliptic equations.
    (with B. Sirakov)

CV and others




Currículo Lattes (In Portuguese)

Teamwork



Ginaldo S. Sá , Ph.D. student
Aelson O. Sobral , Ph.D. student
Rafael Costa , M.S. student
Renan Santos , Undergrad student
Renato de Andrade , Undergrad student
Hendric Miguel Amaral , Highschool student


Past

Harish Shrivastava , Post-Doctorate | 2019-2020