48 citations · 194 across the 35 of their papers we have counts for
4 papers · 2 filters
A Liouville property for eternal solutions to a supercritical semilinear heat equation
Christos Sourdis
We are concerned with solutions to the nonlinear heat equation , , that are defined for all positive and negative time. If the exponent is…
Traveling kinks in an infinite array of weakly coupled pendula
Christos Sourdis
We prove the existence of heteroclinic traveling waves (kinks) in an infinite array of weakly coupled pendula. Our approach is to apply a perturbation argument from the anti-contin…
Energy minimality property of the connecting solution of the Painlevé phase transition model
C. Sourdis
We establish the energy minimality property of solutions to the generalized Painlevé-II equation , , which are increasing in and co…
Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter
Jean-Baptiste Casteras, Christos Sourdis
We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions…