Boris A. Percino-Figueroa

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.DS2016

Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$ -Body Problem

Boris A. Percino-Figueroa

In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian $N$ -body problem, given a minimal central configuration $a$ and an arbitrary configurati…

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

Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem

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

Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$ -Body Problem