Lewis和Vogel结果的稳定性
Stability of Lewis and Vogel's result
摘要：
Lewis和Vogel证明了一个有界域是一个球，它的泊松核是常数，并且它的表面到边界的测度最多有欧氏增长。本文证明了这个结果在小扰动下是稳定的。特别是一个有界域的泊松核是光滑的，接近一个常数，其表面测量的边界最多有欧几里德增长是一个光滑变形的球。
英文摘要：
Lewis and Vogel proved that a bounded domain whose Poisson kernel is constant and whose surface measure to the boundary has at most Euclidean growth is a ball. In this paper we show that this result is stable under small perturbations. In particular a bounded domain whose Poisson kernel is smooth and close to a constant, and whose surface measure to the boundary has at most Euclidean growth is a smooth deformation of a ball.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
