Global regularity for solutions of a class of quasilinear elliptic equations

被引：0

作者：

Lu, Yueming ^{[1
]}

Wang, Tingting ^{[1
]}

Bao, Gejun ^{[1
]}

Li, Guanfeng ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

oscillation estimate; global Holder continuity; boundary condition; MINIMA;

D O I：

10.1186/1029-242X-2013-496

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive interior and global Holder estimates for solutions of a class of quasilinear elliptic equations. First, the interior Holder continuity is obtained by the iteration of an oscillation estimate. Then, the Holder continuity up to the boundary is established in domains with certain boundary constraints. Last, we prove the global Holder continuity of solutions provided that their restrictions on boundary are Holder continuous. The concluding section presents an application to illustrate our main results.

引用

页数：16

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