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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.AP2019
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…