Publications and Preprints
Sharp Hessian integrability for fully nonlinear elliptic supersolutions in low dimensions (with E. Teixeira) . Preprint, 2026
Uniform Lipschitz regularity for two-phase singularly perturbed fully nonlinear elliptic equations (with A. Sobral and E. Teixeira). Preprint, 2026.
Geometric Estimates for Solutions of Semilinear Equations with Singular Potentials.( with Lei Zhang). Preprint, 2026.
Regularity of solutions to degenerate and singular free boundary problems with volume constraint (with Hien X. Nguyen and Pablo R. Stinga) . Interfaces Free Bound. To appear
Optimal regularity for degenerate elliptic equations with Hamiltonian terms (with P. Andrade). Preprint, 2025.
Interior regularity estimates for fully nonlinear equations with arbitrary nonhomogeneous degeneracy laws (with P. Andrade). Preprint, 2025.
Improved regularity estimates for Hardy-Hénon-type equations driven by Infinity Laplacian. (with E.C. Bezerra Júnior, J.V. Da Silva, and G. Sá). Preprint
Schauder-type estimates for fully nonlinear degenerate elliptic equations . J. Funct. Anal. 289 (2025), n. 1, 110900.
Higher regularity of solutions to fully nonlinear elliptic equations (with G. Sa, A. Sobral, and E. Teixeira). Math. Ann. To appear.
On the sharp Hessian integrability conjecture in the plane (with E. Texeira). J. Diff. Equations. 414 (2025), 890--903
New regularity estimates for fully nonlinear elliptic equations (with E. Teixeira). J. Math. Pures Appl. 171 (2023), 1-25.