Some geometric conjectures in harmonic function theory

被引：0
|
作者：
Alberto Enciso
Daniel Peralta-Salas
机构：
[1] Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM),
来源：
Annali di Matematica Pura ed Applicata | 2013年 / 192卷
关键词：
Level sets; Laplace equation; Global approximation; Green’s function; 31A05; 35B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove some results on the geometry of the level sets of harmonic functions, particularly regarding their ‘oscillation’ and ‘pinching’ properties. These results allow us to tackle three recent conjectures due to De Carli and Hudson (Bull London Math Soc 42:83–95, 2010). Our approach hinges on a combination of local constructions, methods from differential topology and global extension arguments.
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页码：49 / 59
页数：10
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