2 papers
math.DS2024
A note on the rational non-integrability of the -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 -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 \math…
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 we use the transnormal functions defined on to reduce fully nonlinear first order PDEs of the form \[ F(x,u…