Non-synchronized solutions to nonlinear elliptic Schr\"odinger systems on a closed Riemannian manifold
Analysis of PDEs
2024-02-23 v1
Abstract
On a smooth, closed Riemannian manifold, we study the question of proportionality of components, also called synchronization, of vector-valued solutions to nonlinear elliptic Schr\"odinger systems with constant coefficients. In particular, we obtain bifurcation results showing the existence of branches of non-synchronized solutions emanating from the constant solutions.
Keywords
Cite
@article{arxiv.2106.12256,
title = {Non-synchronized solutions to nonlinear elliptic Schr\"odinger systems on a closed Riemannian manifold},
author = {Saikat Mazumdar and Jérôme Vétois},
journal= {arXiv preprint arXiv:2106.12256},
year = {2024}
}