Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms
Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms
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具有非线性源或吸收项的拟线性椭圆方程连续解的可移除集
DOI：
10.1007/s10231-017-0667-y
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Kentaro Hirata and Takayori Ono
中科院分区：
文献类型：
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作者：
Fumihiko Nakano and Kahn Duy Trinh;Makoto Masumoto;Daehong Kim;Kentaro Hirata and Takayori Ono
本文建立了具有非线性源项或吸收项的拟线性椭圆型方程的非负连续解的可去奇异性定理，当例外集以Hausdorff测度的正则性和一致Minkowski性质为条件时.这些较弱的条件使我们能够考虑一些分形集作为例外集。
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.