带扰动的Einstein-Yang/Mills方程局部解的存在性

Existence of Local Solutions to Perturbed Einstein-Yang/Mills Equations

本文严格地证明了带扰动的Einstein-Yang/Mills方程在Holder空间中局部解的存在性,这里要求A具有零点。

In this paper, we will give a rigorous proof of existence of local solutions to perturbed Einstein- Yang/Mills equations with gauge group SU(2), here we require the existence of zero point for A, and we consider the area in Holder spaces.