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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A maximum principle for $n$-metaharmonic functions
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by Shui Nee Chow and D. R. Dunninger PDF
Proc. Amer. Math. Soc. 43 (1974), 79-83 Request permission

Abstract:

A class of $n$-metaharmonic functions is shown to satisfy the inequality, $|u(x)| \leqq k|u({x_0})|$, where $x$ is an arbitrary point in a domain $\bar D,{x_0}$ is some fixed point on the boundary of $D$, and $k$ is a constant.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 79-83
  • MSC: Primary 35J30
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0330753-7
  • MathSciNet review: 0330753