We prove that the Yang–Mills α-functional satisfies the Palais–Smale condition, implying the existence of critical points, which are called Yang–Mills α-connections. It was shown in Hong et al. (Comment Math Helv 90:75–120, 2015) that as α→ 1 , a sequence of Yang–Mills α-connections converges to a Yang–Mills connection away from finitely many points. We prove an energy identity for such a sequence of Yang–Mills α-connections. As an application, we also prove an energy identity for the Yang–Mills flow at the maximal existence time
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
AbstractWe proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an is...
We consider the L-2-gradient now associated with the Yang-Mills functional, the so-called Yang-Mills...
This work investigates two regularization techniques designed for identifying critical points of the...
This is the third part of a four-paper sequence, which establishes the Threshold Conjecture and the ...
We proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an isolated s...
AbstractWe proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an is...
In this paper we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimen...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.Includes bibliogra...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
Abstract. Consider a Yang-Mills connection over a Riemann mani-fold M = Mn, n ≥ 3, where M may be co...
We consider the L"2-gradient flow associated with the Yang-Mills functional, the so-called Yang...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
AbstractWe prove that in 4-dimensional manifolds, any finite energy weak solution to the Yang–Mills–...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
AbstractWe proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an is...
We consider the L-2-gradient now associated with the Yang-Mills functional, the so-called Yang-Mills...
This work investigates two regularization techniques designed for identifying critical points of the...
This is the third part of a four-paper sequence, which establishes the Threshold Conjecture and the ...
We proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an isolated s...
AbstractWe proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an is...
In this paper we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimen...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.Includes bibliogra...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
Abstract. Consider a Yang-Mills connection over a Riemann mani-fold M = Mn, n ≥ 3, where M may be co...
We consider the L"2-gradient flow associated with the Yang-Mills functional, the so-called Yang...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
AbstractWe prove that in 4-dimensional manifolds, any finite energy weak solution to the Yang–Mills–...
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the...
AbstractWe proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an is...
We consider the L-2-gradient now associated with the Yang-Mills functional, the so-called Yang-Mills...