Published

1. Existence and obstructions for the curvature on manifolds with boundary (with T. Cruz and F. Vitório)

Commun. Contemp. Math. 27 (2025), no. 6, 2450042, 26 pp. (arxiv pdf - journal pdf)

2. Blow-up analysis of Large conformal metrics with prescribed Gaussian and geodesic curvatures (with R. Caju and T. Cruz). 

Calc. Var. Partial Differential Equations 64 (2025), no. 1, Paper No. 14, 36 pp. (arxiv pdf file - journal pdf)

3. 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. (arxiv pdf - journal pdf)

4. 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. (arxiv pdf - jounal pdf)

5. Singular solutions to Yamabe-type systems with prescribed asymptotics. (with R. Caju and J. M. do Ó). 

J. Differential Equations 347 (2023), 246–281. (arxiv pdf - journal pdf)

6. 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. (arxiv pdf - journal pdf)

7. 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. (arxiv pdf - journal pdf)

8. Deformation of the $\sigma_2$-curvature (With M. Andrade). 

Ann. Global Anal. Geom. 54 (2018), no. 1, 71-85. (arxiv pdf - journal pdf)

9. Solutions to the singular $\sigma_2$ −Yamabe problem with isolated singularities. 

Indiana Univ. Math. J. 66 (2017), no. 3, 741-790. (arxiv pdf - journal pdf)

10.  A Construction of Constant Scalar Curvature Manifolds with Delaunay-type Ends. 

Ann. Henri Poincaré 10 (2010), no 8, 1487 - 1535. (arxiv pdf - journal pdf)

Accepted

Preprints