Abstract
Every sufficiently smooth function v can be represented as a potential plus a harmonic function (Kellogg [1], p. 219). We shall formulate this fact in a form suitable for our purposes. Let v be continuous in a domain G together with its derivatives of the first and second order. Take a region G’ + B’ in G, such that B’ consists of a finite number of non-intersecting smooth Jordan curves.
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© 1971 Springer-Verlag New York Heidelberg Berlin
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Radó, T. (1971). Representation of subharmonic functions in terms of potentials. In: On the Problem of Plateau / Subharmonic Functions. Ergebnisse der Mathematik und Ihrer Grenƶgebiete, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65236-3_13
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DOI: https://doi.org/10.1007/978-3-642-65236-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05479-5
Online ISBN: 978-3-642-65236-3
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