Research
Publications and preprints ORCID
[Submitted] A note on the Maximum Principle and the Iteration Method for elliptic equations (Joint with J. C. Cortissoz)
[Submitted] Poisson Cohomology of Singular Fibrations in Dimension 4 (Joint with N. Bárcenas)
[In preparation] A contact hamiltonian study of the Yamabe equation of compact Ricci solitons (Joint with H. Flores Arguedas)
Equivariant solutions to the optimal partition problem for the prescribed Q-curvature equation (Joint with J. C. Fernández and O. Palmas), J. Geom. Anal. 34, 111, (2024), 51 pages.
An Iteration Method for Solving Elliptic Equations (Joint work J. C. Cortissoz), Journal of Differential Equations 386 (2024), 16--44.
[In press in PAMS] The Yamabe equation in small convex domains in R^3 and small balls in R^n (Joint with J. C. Cortissoz), 2023.
Poisson and Near-symplectic structures on generalized wrinkled fibrations in dimension 6 (Joint with P. Suárez-Serrato and R. Vera ), Ann. Global Anal. Geom. 55 (2019), no. 4, 777–804.
On Bott-Morse Foliations and their Poisson structures in dimension three (Joint with M. Evangelista- Alvarado, P. Suárez-Serrato and R. Vera, Journal of Singularities, vol. 19 (2019), 19–33.
Invariant solutions of the Yamabe equation on the Koiso–Cao soliton , Journal of Differential Geometry and its Applications, Vol. 56 (2018), 142–154.
Poisson structures on wrinkled fibrations (Joint with P. Suárez-Serrato ), Bol. Soc. Mat. Mex. (3) 22 (2016), No.1, 263-280.
Disgressions (In progress...)