Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold-Reference-Cited by-同舟云学术

Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold

Published:2022 Issue:11 Volume:42 Page:5273
ISSN:1078-0947
Container-title:Discrete and Continuous Dynamical Systems
language:
Short-container-title:DCDS

Author:

Mazumdar Saikat¹,Vétois Jérôme²

Affiliation:

1. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, Maharashtra, India

2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec H3A 0B9, Canada

Abstract

<p style='text-indent:20px;'>On a smooth, closed Riemannian manifold, we study the question of proportionality of components, also called synchronization, of vector-valued solutions to nonlinear elliptic Schrödinger systems with constant coefficients. In particular, we obtain bifurcation results showing the existence of branches of non-synchronized solutions emanating from the constant solutions.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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