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arXiv · 2106.12256

Non-synchronized solutions to nonlinear elliptic Schr\"odinger systems on a closed Riemannian manifold

Saikat Mazumdar·Jérôme Vétois
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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.

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Saikat Mazumdar, Jérôme Vétois. 2021-06-23. Non-synchronized solutions to nonlinear elliptic Schr\"odinger systems on a closed Riemannian manifold. https://doi.org/10.3934/dcds.2022097

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