2 citations · 2 across the 2 of their papers we have counts for
4 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…