# Semismall perturbations in the martin theory for elliptic equations

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DOI: 10.1007/BF02773794

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

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## 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.

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© The Magnes Press · The Hebrew University · Jerusalem 1997