On Neumann and Poincare problems for Laplace equation

被引：0
|
作者：
Vladimir Ryazanov
机构：
[1] National Academy of Sciences of Ukraine,Institute of Applied Mathematics and Mechanics
来源：
Analysis and Mathematical Physics | 2017年 / 7卷
关键词：
Neumann and Poincare problems; Laplace equation; Harmonic functions; Directional derivatives; Nontangential limits; Primary 31A05; 31A20; 31A25; 31B25; 35Q15; Secondary 30E25; 31C05; 34M50; 35F45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proved the existence of nonclassical solutions of the Neumann problem for the harmonic functions in the Jordan rectifiable domains with arbitrary measurable boundary distributions of normal derivatives. The same is stated for a special case of the Poincare problem on directional derivatives. Moreover, it is shown that the spaces of the found solutions have the infinite dimension.
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页码：285 / 289
页数：4
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