Pinwheel solutions to Schr\"odinger systems
Analysis of PDEs
2023-01-18 v1
Abstract
We establish the existence of positive segregated solutions for competitive nonlinear Schr\"odinger systems in the presence of an external trapping potential, which have the property that each component is obtained from the previous one by a rotation, and we study their behavior as the forces of interaction become very small or very large. As a consequence, we obtain optimal partitions for the Schr\"odinger equation by sets that are linearly isometric to each other.
Cite
@article{arxiv.2301.07000,
title = {Pinwheel solutions to Schr\"odinger systems},
author = {Mónica Clapp and Angela Pistoia},
journal= {arXiv preprint arXiv:2301.07000},
year = {2023}
}