Israel Journal of Mathematics

, Volume 102, Issue 1, pp 29–60

Semismall perturbations in the martin theory for elliptic equations


DOI: 10.1007/BF02773794

Cite this article as:
Murata, M. Isr. J. Math. (1997) 102: 29. doi:10.1007/BF02773794


We investigate stability of Martin boundaries for positive solutions of elliptic partial differential equations. We define a perturbation which isGLD-semismall at infinity, show that Martin boundaries are stable under this perturbation, and give sufficient conditions for it.

Copyright information

© The Magnes Press · The Hebrew University · Jerusalem 1997

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceTokyo Institute of TechnologyTokyoJapan