Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911781589352448 |
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| author | Mazumdar, Saikat Vétois, Jérôme |
| author_facet | Mazumdar, Saikat Vétois, Jérôme |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_12256 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold Mazumdar, Saikat Vétois, Jérôme Analysis of PDEs 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. |
| title | Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2106.12256 |