3 papers
math.AP2026
Existence and (in)stability of standing waves for the nonlinear Schrödinger Equations on looping-edge graphs with -type interactions
Jaime Angulo Pava, Alexander Muñoz
In this work, we investigate the existence and orbital (in)stability of several branches of standing--wave solutions for the cubic nonlinear Schrödinger equation (NLS) posed on a l…
math.AP2025
Nonlinear Schrödinger Equations on looping-edge graphs with -type interactions
Jaime Angulo Pava, Alexander Munoz
In this work, we study the existence and orbital (in)stability of certain standing-wave solutions for the cubic nonlinear Schrödinger equation (NLS) posed on a looping-edge graph $…
math.AP2024
Airy and Schrödinger-type equations on looping-edge graphs and applications
Jaime Angulo Pava, Alexander Muñoz
The aim of this work is to study the Airy and Schrödinger operators on looping-edge graphs, a class of metric graphs consisting of a circle and a finite number of infinite half…