1 citations · 1 across the 2 of their papers we have counts for
5 papers
Infinitely many solutions to Kirchhoff-Boussinesq-type equations on Riemannian manifolds
Romulo D. Carlos, Juan Carlos Fernández, María de los Ángeles Sandoval-Romero
We study Kirchhoff-Boussinesq-type equations on closed Riemannian manifolds of the form \[ \sum_{j=0}^m a_i(-Δ_g)^m u \pm \text{div}_g(\vert\nabla u\vert_g^{p-2}\nabla u) =…
Yamabe problem in the presence of singular Riemannian Foliations
Diego Corro, Juan Carlos Fernández, Raquel Perales
Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence of an infinite number of sign-ch…
Critical polyharmonic systems and optimal partitions
Mónica Clapp, Juan Carlos Fernández, Alberto Saldaña
We establish the existence of solutions to a weakly-coupled competitive system of polyharmonic equations in R^N which are invariant under a group of conformal diffeomorphisms, and…
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…
Low energy nodal solutions to the Yamabe equation
Juan Carlos Fernández, Jimmy Petean
Given an isoparametric function on the -dimensional sphere, we consider the space of functions to reduce the Yamabe equation on the round sphere into a singular O…