Filipe Oliveira

activity

20152020

most citedMass-transfer instability of ground-states for Hamiltonian Schrödinger systems

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP2020

On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity

Vanessa Barros, Simão Correia, Filipe Oliveira

We study the nonlinear Schrödinger equation with initial data in $Z_{p}^{s} (R^{d}) = H ˙^{s} (R^{d}) \cap L^{p} (R^{d})$ , where $0 < s < min {d /2, 1}$ and $2<p<2…

math.AP2019★ 1 cited

Mass-transfer instability of ground-states for Hamiltonian Schrödinger systems

Simão Correia, Filipe Oliveira, Jorge D. Silva

We study generic semilinear Schrödinger systems which may be written in Hamiltonian form. In the presence of a single gauge invariance, the components of a solution may exchange ma…

math.NT2018

Weighted EGZ Constant for p-groups of rank 2

Filipe Oliveira, Abílio Lemos, Hemar Godinho

Let $G$ be a finite abelian group of exponent $n$ , written additively, and let $A$ be a subset of $Z$ . The constant $s_{A} (G)$ is defined as the smallest integer $ℓ$ such…

math.AP2018

On a Schrödinger system arizing in nonlinear optics

Filipe Oliveira, Ademir Pastor

We study the nonlinear Schrödinger system \[ \begin{cases} \displaystyle iu_t+Δu-u+(\frac{1}{9}|u|^2+2|w|^2)u+\frac{1}{3}\overline{u}^2w=0,\\ i\displaystyle σw_t+Δw-μw+(9|w|^2+2|u|…

math.AP2015

Ground States for a nonlinear Schrödinger system with sublinear coupling terms

Filipe Oliveira, Hugo Tavares

We study the existence of ground states for the coupled Schrödinger system \begin{equation} \left\{\begin{array}{lll} \displaystyle -Δu_i+λ_i u_i= μ_i |u_i|^{2q-2}u_i+\sum_{j\neq i…

math.AP2015

Ground states for a coupled nonlinear Schrödinger system

Filipe Oliveira

We study the existence of ground states for the coupled Schrödinger system \begin{equation} \label{ellipticabstract} \left\{ \begin{array}{llll} -Δu+u&=&|u|^{2q-2}u+b|v|^q|u|^{q-2}…