3 citations · 11 across the 13 of their papers we have counts for
4 papers · 1 filter
On a quasilinear non-local Benney System
João-Paulo Dias, Filipe Oliveira
We study the quasilinear non-local Benney System $$\left\{\begin{array}{llll} iu_t+u_{xx}=|u|^2u+buv\\ v_t+a(\int_{\mathbf{R}^+}v^2dx)v_x=-b(|u|^2)_x,\quad (x,t)\in\mathbf{R}^+\tim…
Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with equations
Simão Correia, Filipe Oliveira, Hugo Tavares
In this work we consider the weakly coupled Schrödinger cubic system \[ \begin{cases} \displaystyle -Δu_i+λ_i u_i= μ_i u_i^{3}+ u_i\sum_{j\neq i}b_{ij} u_j^2 \\ u_i\in H^1(\mathbb{…
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…
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}…