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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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樓主: MIFF
11#
發(fā)表于 2025-3-23 13:17:15 | 只看該作者
12#
發(fā)表于 2025-3-23 15:48:43 | 只看該作者
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.
13#
發(fā)表于 2025-3-23 18:54:52 | 只看該作者
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.
14#
發(fā)表于 2025-3-24 00:36:01 | 只看該作者
15#
發(fā)表于 2025-3-24 05:33:41 | 只看該作者
16#
發(fā)表于 2025-3-24 08:39:12 | 只看該作者
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.
17#
發(fā)表于 2025-3-24 13:34:08 | 只看該作者
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
18#
發(fā)表于 2025-3-24 15:43:47 | 只看該作者
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.
19#
發(fā)表于 2025-3-24 21:36:26 | 只看該作者
20#
發(fā)表于 2025-3-25 01:18:10 | 只看該作者
Tibor Radóhodologischen Ans?tze, der berücksichtigten Autorinnen und Autoren sowie der er?ffneten 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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