Global existence for critical power Yang-Mills-Higgs equations in ℝ3+1

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Abstract

We prove global existence for both smooth and finite energy solutions of the Yang-Mills-Higgs equations with a critical-power Higgs self-interaction in ℝ3+1. The phrase "critical-power" denotes here a Higgs self-interaction behaving as |φ|6for large φ.

Original languageEnglish (US)
Pages (from-to)1161-1225
Number of pages65
JournalCommunications in Partial Differential Equations
Volume22
Issue number7-8
StatePublished - Dec 1 1997

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