48 citations · 194 across the 35 of their papers we have counts for
40 papers
On a linear equation arising in the study of phase separation of Bose-Einstein condensates
Christos Sourdis
We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip wi…
Quantitative linear nondegeneracy of approximate solutions to strongly competitive Gross-Pitaevskii systems in general domains in dimensions
Christos Sourdis
We consider strongly coupled competitive elliptic systems of Gross-Pitaevskii type that arise in the study of two-component Bose-Einstein condensates, in general smooth bounded dom…
Uniqueness for the Dafermos regularization viscous wave fan profiles for Riemann solutions of scalar hyperbolic conservation laws
Christos Sourdis
We prove the uniqueness of solutions to the Dafermos regularization viscous wave fan profiles for Riemann solutions of scalar hyperbolic conservation laws. We emphasize that our re…
One-dimensional symmetry of positive bounded solutions to the subcubic and cubic nonlinear Schrödinger equation in the half-space in dimensions
Christos Sourdis
We are concerned with the half-space Dirichlet problem \[\left\{\begin{array}{ll} -Δv+v=|v|^{p-1}v & \textrm{in}\ \mathbb{R}^N_+, v=c\ \textrm{on}\ \partial\mathbb{R}^N_+, &\lim_{x…
One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space
Christos Sourdis
We are concerned with the half-space Dirichlet problem \[\begin{array}{ll} -Δv+v=|v|^{p-1}v & \textrm{in}\ \mathbb{R}^N_+, v=c\ \textrm{on}\ \partial\mathbb{R}^N_+, &\lim_{x_N\to \…
Instability and nonordering of localized steady states to a classs of reaction-diffusion equations in
Christos Sourdis
We show that the elliptic problem in , , with and does not have nontrivial stable solutions that decay to zero at…