Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms

被引：0
|
作者：
Kentaro Hirata
Takayori Ono
机构：
[1] Hiroshima University,Department of Mathematics, Graduate School of Science
[2] Fukuyama University,undefined
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2018年 / 197卷
关键词：
Removable singularity; Quasilinear elliptic equation; Nonlinear potential estimate; Iteration method; Fractal set; Primary 35J92; Secondary 31C45; 28A80;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper establishes removable singularity theorems for nonnegative continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms when an exceptional set is conditioned in terms of the regularity of Hausdorff measure and a uniform Minkowski property. These weaker conditions enable us to consider some fractal sets as an exceptional set.
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页码：41 / 59
页数：18
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