In this paper,we establish the first and the second variational formulas for the p-Yang-Mills functional,and prove that there isn t any weakly stable p-Yang-Mills field which is parallel on the sphere S~n for n>2p≥4.
推导了p-Yang-Mills泛函的第一和第二变分公式,并证明了关于p-Yang-Mills泛函的一个不稳定性定理,即球面Sn,(n>2p≥4)上平行的p-Yang-Mills场是不稳定的。