Eddaly Guerra-Velasco

collaborators

3 papers

math.AP2024

A geometric reduction method for some fully nonlinear first-order PDEs on semi-Riemannian manifolds

Juan Carlos Fernández, Eddaly Guerra-Velasco, Oscar Palmas +1

Given a semi-Riemannian manifold $(M, ⟨ \cdot, \cdot ⟩_{g}),$ we use the transnormal functions defined on $M$ to reduce fully nonlinear first order PDEs of the form \[ F(x,u…

math.DS2024

A note on the rational non-integrability of the $N$ -center problem for almost all degrees of the singularities

Eddaly Guerra-Velasco, Boris Percino-Figueroa, Russell-Aarón Quiñones-Estrella

In this article, we show that the $N$ -center problem with rational weak and moderate forces is not rationally integrable for all but a finite number of values $α\in(0,2)\cap \mathb…

math.DS2017

Mather measures for space-time periodical nonconvex hamiltonians

Eddaly Guerra-Velasco

The main goal of this paper is to construct Mather measures for space-time periodical nonconvex Hamiltonians.

A geometric reduction method for some fully nonlinear first-order PDEs on semi-Riemannian manifolds

A note on the rational non-integrability of the N-center problem for almost all degrees of the singularities

Mather measures for space-time periodical nonconvex hamiltonians

A note on the rational non-integrability of the $N$ -center problem for almost all degrees of the singularities