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arXiv · 2309.05168

Multiple Non-radial Solutions for Coupled Schr\"{o}dinger Equations

Xiaopeng Huang·Haoyu Li·Zhi-Qiang Wang
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Abstract

The paper deals with the existence of non-radial solutions for an $N$-coupled nonlinear elliptic system. In the repulsive regime with some structure conditions on the coupling and for each symmetric subspace of rotation symmetry, we prove the existence of an infinite sequence of non-radial positive solutions and an infinite sequence of non-radial nodal solutions.

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Xiaopeng Huang, Haoyu Li, Zhi-Qiang Wang. 2023-09-10. Multiple Non-radial Solutions for Coupled Schr\"{o}dinger Equations. https://arxiv.org/abs/2309.05168

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