5 citations · 6 across the 7 of their papers we have counts for
10 papers
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…
Moduli spaces of flat Riemannian metrics on 4-dimensional closed manifolds
Karla Garcia, Oscar Palmas
We give the algebraic and topological description of the moduli spaces of flat metrics for the 4-dimensional closed flat manifolds with two or three generators in their holonomy.
Equivariant solutions to the optimal partition problem for the prescribed Q-curvature equation
Juan Carlos Fernández, Oscar Palmas, Jonatán Torres Orozco
We study the optimal partition problem for the prescribed constant -curvature equation induced by the higher order conformal operators under the effect of cohomogeneity one acti…
An ODE reduction method for the semi-Riemannian Yamabe problem on space forms
Juan Carlos Fernández, Oscar Palmas
We consider the semi-Riemannian Yamabe type equations of the form \[ -\square u + λu = μ\vert u\vert^{p-1}u\quad\text{ on }M \] where is either the semi-Euclidean space or the…
Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces
Juan Carlos Fernández, Jimmy Petean, Oscar Palmas
Given an isoparametric function on the -dimensional round sphere, we consider functions of the form to reduce the semilinear elliptic problem \[ -Δ_{g_0}u+λu=λ…
Principal configurations around umbilics of spacelike surfaces in null hypersurfaces of
Matias Navarro, Oscar Palmas, Didier A. Solis
We study the principal configurations around an isolated -umbilical point on a generic spacelike surface immersed in a null hypersurface of Minkowski space $\mathbb{R}_1…