Geometric properties of free boundaries in degenerate quenching problems.
(with R. Teymurazyan, and J.M. Urbano) SIAM J. Math. Anal. (to appear) Link

On a nonlocal superconductivity problem.
(with A. Sobral) Rev. Mat. Iberoam. (to appear) Link

On free boundary problems shaped by oscillatory singularities.
(with A. Sobral, E. Teixeira, and J.M. Urbano) Cal. of Var. and PDEs (2026) Link

Regularity in diffusion models with gradient activation.
(with A. Sobral, and E. Teixeira) J. Funct. Analysis (2025) Link

Interacting free boundaries in obstacle problems.
(with R. Teymurazyan) Interfaces Free Bound. (2025) Link

On splitting complete manifolds via infinity harmonic functions.
(with M. Magliaro, L. Mari, and L. Pessoa) Int Math Res Notices (2024) Link

Fully nonlinear dead-core systems.
(with R. Teymurazyan) J. Funct. Analysis (2024) Link

Sharp regularity for a singular fully nonlinear parabolic free boundary problem.
(with G. Sá, and J.M. Urbano) J. Differential Equations (2024) Link

Sharp regularity for singular obstacle problems.
(with R. Teymurazyan, and V. Voskanyan) Math. Ann. (2023) Link

Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations.
(with B. Sirakov) J. Math. Pures Appl. (2023) Link

Infinity Laplacian equations with singular absorptions.
(with Ginaldo Sá) Cal. of Var. and PDEs (2022) SBM Prize* Link

An optimal Liouville theorem for the porous medium equation.
(with R. Teymurazyan) Arch. Math. (2022) Link

On a two-phase free boundary problem ruled by the infinity Laplacian.
(with E. Teixeira, and J.M. Urbano) Isr. J. Math. (2021) Link

Higher regularity estimates for the porous medium equation near the heat equation.
Rev. Mat. Iberoam. (2021) Link

Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian.
(with L. Mari, and L. Pessoa) J. Differential Equations (2021) Link

Optimal C 1+\alpha estimates for a class of elliptic quasilinear equations.
(with L. Zhang) Commun. Contemp. Math. (2020) Link

Sharp regularity for the inhomogeneous porous medium equation.
(with A. Maia, and J.M. Urbano) Journal d'Analyse Mathématique, J. Anal. Math. (2020) Link

Towards the Cp'-regularity conjecture in higher dimensions.
(with E. Teixeira, and J.M. Urbano) Int Math Res Notices (2018) Link

A proof of the Cp'-regularity conjecture in the plane.
(with E. Teixeira, and J.M. Urbano) Adv. Math. (2017) Link

Singularly perturbed equations of degenerate type.
(with E. Teixeira, and G. Ricarte) Ann. Inst. H. Poincaré Anal. Non linéaire (2017) Link

Infinity Laplacian equation with strong absorptions.
(with E. Teixeira, and R. Leitão) J. Funct. Analysis (2016) Link

Geometric gradient estimates for solutions to degenerate elliptic equations.
(with E. Teixeira, and G. Ricarte) Cal. of Var. and PDEs (2015) Link

Geometric approach to nonvariational singular elliptic equations.
(with E. Teixeira) Arc. for Rat. Mech. and Anal. (2013) Link