4 papers
Energy critical fourth-order Schrödinger equation system with power-type nonlinearities in the radial case
Maicon Hespanha, Renzo Scarpelli
In this paper, we study a system of focusing fourth-order Schrödinger equations in the energy-critical setting with radial initial data and general power-type nonlinearities. The…
Blow-up results for Inhomogeneous fourth-order nonlinear Schrödinger Equation
Renzo Scarpelli, Maicon Hespanha
In this paper, we investigate the blow-up phenomenon of the norm of solutions to the inhomogeneous biharmonic Schrodinger equation in two distinct scenarios. First, we consid…
The focusing energy-critical nonlinear Schrödinger system with power-type growth nonlinearities in the radial case
Luiz Gustavo Farah, Maicon Hespanha
This work is concerned with a coupled system of focusing nonlinear Schrödinger equations involving general power-type nonlinearities in the energy-critical setting for dimensions…
Blow-up of radially symmetric solutions for a cubic NLS type system in dimension 4
Maicon Hespanha, Ademir Pastor
This paper is concerned with a cubic nonlinear Schrödinger system modeling the interaction between an optical beam and its third harmonic in a material with Kerr-type nonlinear re…