Publications
Min max minimal surfaces, horizons and electrostatic systems (with F.V. Lima and A. Sousa). To appears in Journal of Differential Geometry.
On static manifolds satisfying an overdetermined Robin type condition on the boundary. (with I. Nunes) To appear in Proc. Amer. Math. Soc.
Critical metrics and curvature of metrics with unit volume or unit area of the boundary (with A. Santos). Journal of Geometric Analysis. v. 33, p. 22, 2023
On the prescribed Q-curvature problem in Riemannian manifolds (with F. Cruz). Manuscripta Math. 165 (2021), no. 1-2, 121–133.
Prescribing the curvature of Riemannian manifolds with boundary (with F. Vitório). Calculus of variation and partial differential equations, v. 58, p. 124, 2019.
Free boundary hypersurfaces with nonpositive Yamabe invariant in mean convex manifolds (with A. Barros). Journal of Geometric Analysis, v. 30, p.3542 - 3562, 2019.
Capacity inequalities and rigidity of cornered/conical manifolds. Annals of global analysis and geometry, v. 55, p. 281-298, 2019.
Deforming the Scalar Curvature of the De Sitter-Schwarzschild Space. (with L. de Lima and F. Montenegro), Journal of Geometric Analysis. v. 28, p. 473-491, 2018.
Hawking mass and local rigidity of minimal surfaces in three-manifolds (with A. Barros, R. Batista). Communications and analysis and geometry, v. 25, p. 1-23, 2017.
Rigidity in dimension four of area-minimising Einstein manifolds (with A. Barros, R. Batista and P.Sousa). Mathematical Proceedings of the Cambridge Philosophical Society (Print), v. 158, p. 355-363, 2015.
Preprints
Existence and obstructions for the curvature on manifolds with boundary (with A. Santos and F. Vitório). Submitted to publication.
Half-space theorems for 1-surfaces of H^3 (with G. Pacelli and L. Pessoa). Submitted to publication.