10 citations · 19 across the 23 of their papers we have counts for
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Some solutions of the hyperbolic nonlinear Schrödinger equation and their stability
Simão Correia, Mário Figueira
Consider the hyperbolic nonlinear Schrödinger equation (HNLS) over We deduce the conservation laws associated wit…
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 systems of coupled semilinear Schrödinger equations with attraction-repulsion effects: characterization and perturbation results
Simão Correia
We focus on the study of ground-states for the system of coupled semilinear Schrödinger equations with power-type nonlinearities and couplings. We extend the characterization r…
A Fujita-type blowup result and low energy scattering for a nonlinear Schrö\-din\-ger equation
Thierry Cazenave, Simão Correia, Flávio Dickstein +1
In this paper we consider the nonlinear Schrö\-din\-ger equation . We prove that if and , then every nontrivial -solution blow…
Stability of ground-states for a system of coupled semilinear Schrödinger equations
Simão Correia
We focus on the study of the stability properties of ground-states for the system of coupled semilinear Schrödinger equations with power-type nonlinearities and couplings. Our…