Semismall perturbations in the martin theory for elliptic equations
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- Murata, M. Isr. J. Math. (1997) 102: 29. doi:10.1007/BF02773794
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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.