Published

1. Constant Q-curvature metrics with Delaunay ends: the nondegenerate case (with J. H. Andrade, R. Caju, J. M. do Ó and J. Ratzkin) Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXV (2024), 965-1031. (pdf file)

2. On the $\sigma_2$-curvature and volume of compact manifold (with M. Andrade and T. Cruz). Ann. Mat. Pura Appl. (4) 202 (2023), no. 1, 367–395. (pdf file)

3. Singular solutions to Yamabe-type systems with prescribed asymptotics. (with R. Caju and J. M. do Ó). J. Differential Equations 347 (2023), 246–281. (pdf file)

4. Critical metrics and curvature of metrics with unit volume or unit area of the boundary. (with T. Cruz). J. Geom. Anal. 33 (2023), no. 1, Paper No. 22, 34 pp. (pdf file)

5. Qualitative Properties of Positive Singular Solutions to Nonlinear Elliptic Systems with Critical Exponent. (with R. Caju and J. M. do Ó). Ann. I. H. Poincaré - AN 36 (2019) 1575 - 1601. (pdf file)

6. Deformation of the $\sigma_2$-curvature (With M. Andrade). Ann. Global Anal. Geom. 54 (2018), no. 1, 71-85. (pdf file)

7. Solutions to the singular $\sigma_2$ −Yamabe problem with isolated singularities. Indiana Univ. Math. J. 66 (2017), no. 3, 741-790. (pdf file)

8.  A Construction of Constant Scalar Curvature Manifolds with Delaunay-type Ends. Ann. Henri Poincaré 10 (2010), no 8, 1487 - 1535. (pdf file)

Accepted

1. Existence and obstructions for the curvature on manifolds with boundary (with T. Cruz and F. Vitório) To appear in Commun. Contemp. Math.. (pdf file)

2. Blow-up analysis of Large conformal metrics with prescribed Gaussian and geodesic curvatures (with R. Caju and T. Cruz). (pdf file) To appear in Calc. Var. Partial Differential Equations.

Preprints