Publications
Research Papers
Published
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)
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)
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)
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)
Deformation of the $\sigma_2$-curvature (With M. Andrade). Ann. Global Anal. Geom. 54 (2018), no. 1, 71-85. (pdf file)
Solutions to the singular $\sigma_2$ −Yamabe problem with isolated singularities. Indiana Univ. Math. J. 66 (2017), no. 3, 741-790. (pdf file)
A Construction of Constant Scalar Curvature Manifolds with Delaunay-type Ends. Ann. Henri Poincaré 10 (2010), no 8, 1487 - 1535. (pdf file)
Accepted
Constant Q-curvature metrics with Delaunay ends: the nondegenerate case (with J. H. Andrade, R. Caju, J. M. do Ó and J. Ratzkin) (To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze). (pdf file)
Submitted
Ph.D Thesis: A Construction of Constant Scalar Curvature Manifolds with Delaunay-Type Ends (pdf file)
Instituto de Matemática Pura e Aplicada – IMPA 2009
Advisor: Fernando Codá Marques
Master Dissertation: Simetrias de hipersuperfícies com curvatura escalar nula via Princípio da Tangência (pdf file)
Universidade Federal de Pernambuco - UFPE 2005
Advisor: Henrique José Moraies de Araújo