紧集上$m$-次调和函数的Dirichlet问题

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2018-12-16 DOI:10.7146/math.scand.a-119708

P. Åhag, R. Czyż, Lisa Hed

引用次数: 0

摘要

我们首先刻画了Dirichlet问题在紧集合上定义的连续$m$-次调和函数类内有解的紧集合，然后在$m$-调和函数类内有解的紧集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Dirichlet problem for $m$-subharmonic functions on compact sets

We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous $m$-subharmonic functions defined on a compact set, and then within the class of $m$-harmonic functions.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.