# Semismall perturbations in the martin theory for elliptic equations

## Authors

Article

- Received:
- Revised:

DOI: 10.1007/BF02773794

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

## Abstract

We investigate stability of Martin boundaries for positive solutions of elliptic partial differential equations. We define a perturbation which is*G*
_{L}
^{D}
-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