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Titlebook: On the Problem of Plateau / Subharmonic Functions; Tibor Radó Book 1971 Springer Science+Business Media New York 1971 Functions.Plateausch

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Integral means of subharmonic functions,If . is subharmonic in a domain ., then .(.., ..) ≦ L(u; .., ..; r),u (.., ..) ≦ A (u; .., ..; r) for (.., ..) in G and for sufficiently small .(see 1. 6, 1. 7, 1. 9, 1.11). The question arises as to whether these relationsare characteristic for subharmonic functions.
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Criteria and constructions for subharmonic functions,If u is of class K. (see 2.18) in a domain G and ifΔ u = ∂.u/∂x. + ∂.u/∂y. > 0, then u is subharmonic.
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Introduction, smallest possible length. The problem of determining and investigating a surface with given boundary and with a smallest possible area might then be considered as the most immediate two-dimensional variation problem.
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Minimal surfaces in the large,rdan curve Γ* and which is.. The question naturally arises if thissupplementary condition can be complied with if Γ* is very complicated.The very particular cases which have been dealt with in theolder literature certainly cannot be considered as representative of whatmight be expected in the case o
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Representation of subharmonic functions in terms of potentials,suitable for our purposes. Let v becontinuous in a domain G together with its derivatives of the firstand second order. Take a region G’ + B’ in G, such that B’ consistsof a finite number of non-intersecting smooth . curves.
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Tibor Radóhodologischen Ansätze, der berücksichtigten Autorinnen und Autoren sowie der eröffneten Themen neue Impulse geben. Das Feld wird sondiert hinsichtlich der doppelten Frage, . in den unterschiedlichen historisch-kulturellen Konstellationen in jeweils . zur Darstellung kommt. Damit stehen zum einen die
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