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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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

Submitted papers

• On free boundary problems shaped by oscillatory singularities.
  (with A. Sobral, E. Teixeira and J.M. Urbano)
  


• Oscillatory free boundary problems in stochastic materials.
  (with G. Sá, E. Teixeira and J.M. Urbano)
  


• On fractional quasilinear equations with elliptic degeneracy.
  (with D. dos Prazeres and E. Topp)
  


• Geometric properties of free boundaries in degenerate quenching problems.
  (with R. Teymurazyan and J.M. Urbano)
  


• Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity.
  (with A. Minne and E. Pimentel)
  


• On a nonlocal superconductivity problem.
  (with with A. Sobral)
  


• Regularity estimates for PDEs with nonlocal degeneracies.
  (with with E. Teixeira, J.M. Urbano and A. Sobral)
  


• Borderline regularity in singular free boundary problems.
  (with with E. Teixeira, J.M. Urbano and A. Sobral)