Papers Submitted

• Two-phase free boundary problems for a class of fully nonlinear double-divergence systems,

with J. C. Correa-Hoyos 

• Spectral partition problems with volume and inclusion constraints,

with E. Moreira dos Santos, M. Santos and H. Tavares

• Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation,

with J. V. da Silva, G. Rampasso and M. Santos

Papers published

•  Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy. Nonlinearity (2024).

with D. dos Prazeres and M. Santos 

• C¹-regularity for degenerate diffusion equations. Advances in Mathematics (2022).

    with D. Pellegrino, E. Pimentel and E. Teixiera 

• Improved regularity for the parabolic normalized p-Laplace equation. Calculus of Variations and Partial Differential Equations (2022).

with M. Santos

• Geometric regularity theory for a time-dependent Isaacs equation. Nonlinear Differential Equations and Applications NoDEA (2022).

with G. Rampasso and M. Santos

• Stationary fully nonlinear mean-field games. Journal d'Analyse Mathematique (2021).

with E. Pimentel