2 papers
math.AP2020
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…
math.AP2016
Multiplicity of nodal solutions to the Yamabe problem
Mónica Clapp, Juan Carlos Fernández
Given a compact Riemannian manifold without boundary of dimension and under some symmetry assumptions, we establish existence of one positive and multiple nodal s…