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On Asymptotic Behavior of Elliptic SO(d)-Equivariant Yang–Mills Fields

Communications in Mathematics and Statistics, ISSN: 2194-671X
2023
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Article Description

We study the solutions of elliptic Yang–Mills equation -∂r2u-(d-3)r∂ru+(d-2)r2u(1-u)(2-u)=0, and we give a description of their asymptotic behaviors in dimensions d≥ 10 . These solutions serve as the ground state solutions for super-critical Yang–Mills heat flow equation; thus, this result provides the background for potential blow-up research.

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