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On the self-conjugateness of differential forms on bounded domains
Volume 60, no. 1
(2019),
pp. 247–256
https://doi.org/10.33044/revuma.v60n1a15
Abstract
Suppose $\Omega$ is a bounded domain in $\mathbb{R}^n$ with boundary $\Gamma$ and let
$\mathcal{W}$ be a non-homogeneous differential form harmonic in $\Omega$ and
Hölder-continuous in $\Omega\cup\Gamma$. In this paper we study and obtain
some necessary and sufficient conditions for the self-conjugateness of $\mathcal{W}$ in
terms of its boundary value $\mathcal{W}|_\Gamma=\omega$.
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Published by the Unión Matemática Argentina |
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