A shadowing lemma for abelian Higgs vortices

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We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an \textit{infinite} number of arbitrarily prescribed vortex points. Furthermore, we obtain the precise asymptotic profile of the solutions in the form of an approximate superposition rule, up to an error which is exponentially small.
18 pages

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Analysis of PDEs, Mathematical Physics, 35J60 (primary); 58E15, 81T13 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73447

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412025
 http://arxiv.org/abs/math/0412025

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arXiv