74 citations · 94 across the 7 of their papers we have counts for
9 papers
Spectral partition problems with volume and inclusion constraints
Pêdra D. S. Andrade, Ederson Moreira dos Santos, Makson S. Santos +1
In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an o…
Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation
Denis Bonheure, Jean-Baptiste Castéras, Ederson Moreira dos Santos +1
We study the mixed dispersion fourth order nonlinear Schrödinger equation \begin{equation*} %\tag{\protect{4NLS}}\label{4nls} i \partial_t ψ-γΔ^2 ψ+βΔψ+|ψ|^{2σ} ψ=0\ \text{in}\ \R…
Instability of modes in a partially hinged rectangular plate
Vanderley Ferreira, Filippo Gazzola, Ederson Moreira dos Santos
We consider a thin and narrow rectangular plate where the two short edges are hinged whereas the two long edges are free. This plate aims to represent the deck of a bridge, either…
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…
Morse index of radial nodal solutions of Hénon type equations in dimension two
Ederson Moreira dos Santos, Filomena Pacella
We consider non-autonomous semilinear elliptic equations of the type \[ -Δu = |x|^α f(u), \ \ x \in Ω, \ \ u=0 \quad \text{on} \ \ \partial Ω, \] where is…
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…