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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some remarks on the stability of a property related to the mean value theorem for harmonic functions


Author: Burton Randol
Journal: Proc. Amer. Math. Soc. 114 (1992), 175-179
MSC: Primary 31A05; Secondary 30C15, 31B05
DOI: https://doi.org/10.1090/S0002-9939-1992-1079707-7
MathSciNet review: 1079707
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Abstract: Suppose $ u$ is harmonic and of mean zero over a compact domain $ D$. We study the extent to which the zero-set of $ u$ must penetrate into the interior of $ D$.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1079707-7
Article copyright: © Copyright 1992 American Mathematical Society