9 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
Symmetry and classification of positive standing waves of nonlinear Hartree type equations
Eduardo de Souza Böer, Ederson Moreira dos Santos, Gustavo de Paula Ramos
This paper presents some qualitative properties of positive solutions to the strongly coupled system \[ \begin{cases} \displaystyle - Δu + τu = \frac{2 p}{p + q} \left( I_α\ast |v|…
Paths to uniqueness of critical points and applications to partial differential equations
Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos +2
We prove a unified and general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our me…
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
Denis Bonheure, Ederson Moreira dos Santos, Miguel Ramos +1
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights \[ -Δu = |x|^β |v|^{q-1}v, \quad -Δv =|x|^α|u|^{p-1}u\q…
Local minimizers in spaces of symmetric functions and applications
Leonelo Iturriaga, Ederson Moreira dos Santos, Pedro Ubilla
We study versus local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\math…