74 citations · 94 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Hénon type equations and concentration on spheres
Ederson Moreira dos Santos, Filomena Pacella
In this paper we study the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Usi…
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…
Hamiltonian elliptic systems: a guide to variational frameworks
Denis Bonheure, Ederson Moreira dos Santos, Hugo Tavares
Consider a Hamiltonian system of type \[ -Δu=H_{v}(u,v),\ -Δv=H_{u}(u,v) \ \ \text{ in } Ω, \qquad u,v=0 \text{ on } \partial Ω\] where is a power-type nonlinearity, for instan…