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

共 50 条

[11] Weak solutions for a class of semilinear elliptic equations in unbounded domains of 3
Raghavendra, V.
Kar, Rasmita
APPLICABLE ANALYSIS, 2013, 92 (06) : 1138 - 1146
[12] A PRIORI ESTIMATES FOR A CLASS OF QUASI-LINEAR ELLIPTIC EQUATIONS
Daners, Daniel
Drabek, Pavel
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (12) : 6475 - 6500
[13] Nonexistence and Existence of an Optimal Control Problem Governed by a Class of Semilinear Elliptic Equations
Luan, Shu
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 158 (01) : 1 - 10
[14] Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain
Chen, Huyuan
Peng, Rui
Zhou, Feng
SCIENCE CHINA-MATHEMATICS, 2020, 63 (07) : 1307 - 1322
[15] Oscillation of second order semilinear elliptic equations with damping
Xu, Zhi Ting
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (11) : 2165 - 2178
[16] SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS
Chen Hua
He Zhenya
ACTA MATHEMATICA SCIENTIA, 2009, 29 (02) : 232 - 242
[17] A-PRIORI ESTIMATES FOR A SEMILINEAR ELLIPTIC PDE
IAIA, JA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (07) : 1039 - 1048
[18] ISOLATED SINGULARITY FOR SEMILINEAR ELLIPTIC EQUATIONS
Wei, Lei
Feng, Zhaosheng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (07) : 3239 - 3252
[19] SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS
陈化
贺振亚
Acta Mathematica Scientia, 2009, 29 (02) : 232 - 242
[20] Convexity estimates for the solutions of a class of semi-linear elliptic equations
Shi, Shujun
Ye, Yunhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (02) : 959 - 977

← 1 2 3 4 5 →