Energy estimates for a class of semilinear elliptic equations on half Euclidean balls

被引：0

作者：

Guo, Ying ^{[1
]}

Zhang, Lei ^{[1
]}

机构：

[1] Univ Florida, Dept Math, 358 Little Hall,POB 118105, Gainesville, FL 32611 USA

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2015年 / 31卷 / 04期

关键词：

Semi-linear; Harnack inequality; blowup solutions; mean curvature; scalar curvature; Yamabe type equations; energy estimate; SCALAR CURVATURE EQUATION; HARNACK-TYPE INEQUALITIES; LOCAL BEHAVIOR; BOUNDARY; THEOREMS;

D O I：

10.4171/RMI/865

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of semi-linear elliptic equations with critical Sobolev exponents and boundary conditions, we prove pointwise estimates for blowup solutions and energy estimates. A special case of this class of equations is a locally defined prescribing scalar curvature and mean curvature type equation.

引用

页码：1141 / 1166

页数：26

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