Research
Research focuses on nonlinear partial differential equations and free boundary problems, particularly the regularity of solutions and their associated free boundaries. Applications range from financial mathematics and optimal design to mathematical models in health and chemical engineering.
Book · IMPA · 2025The fractional
The fractional
Laplacian uncovered
Recent work
All publicationsPublications
- 23Forthcoming
Sharp regularity for the anisotropic fractional Laplacian with Morrey data
(with J.M. Urbano), arXiv:2610.39947, submitted.Read publication - 22Forthcoming
Tumor growth models with nutrient consumption
(with D.J. Araújo and J.M. Urbano), arXiv:2610.37144, submitted.Read publication - 21Forthcoming
Improved regularity for a nonlocal dead-core problem
(with D. dos Prazeres and J.M. Urbano), Indiana Univ. Math. J., to appear.Read publication - 202026
Geometric properties of free boundaries in degenerate quenching problems
(with D.J. Araújo and J.M. Urbano), SIAM J. Math. Anal. 58 (2026), 3599-3621.Read publication - 192026
Rectifiability of free boundaries in singular diffusion problems
Bull. Braz. Math. Soc. (N.S.) 57 (2026), 32.Read publication