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arXiv · 2202.09546

Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs

Yuanyang Hu
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Abstract

Let $G=(V,E)$ be a connected finite graph. We investigate two Bogomol'nyi-Prased-Sommerfeld equations on $G$. We establish necessary and sufficient conditions for the existence and uniqueness of solutions to the two BPS equations.

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Yuanyang Hu. 2022-02-19. Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs. https://arxiv.org/abs/2202.09546

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