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HOLDER CONTINUITY OF WEAK SOLUTIONS FOR DEGENERATE QUASILINEAR SUBELLIPTIC SYSTEMS WITH DIFFERENT WEIGHTS
被引:1
作者
:
Cui, Xuewe
论文数:
0
引用数:
0
h-index:
0
机构:
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Cui, Xuewe
[
1
]
Niu, Pengcheng
论文数:
0
引用数:
0
h-index:
0
机构:
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Niu, Pengcheng
[
1
]
Wang, Yongzhong
论文数:
0
引用数:
0
h-index:
0
机构:
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
Wang, Yongzhong
[
1
]
机构
:
[1]
NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源
:
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
|
2012年
/ 14卷
/ 02期
基金
:
高等学校博士学科点专项科研基金;
关键词
:
Hormander's vector field;
weak solution;
weight;
weak Harnack inequality;
Holder continuity;
ELLIPTIC-SYSTEMS;
HEISENBERG-GROUP;
HARNACK INEQUALITY;
LOCAL REGULARITY;
VECTOR-FIELDS;
CARNOT GROUPS;
EQUATIONS;
OPERATORS;
THEOREM;
D O I
:
10.1142/S0219199712500113
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We establish Holder continuity of weak solutions for degenerate quasilinear subelliptic systems with different weights, with weak Harnack inequalities obtained here and a generalization of Caffarelli's idea.
引用
收藏
页数:19
相关论文
共 23 条
[1]
DEGENERATE ELLIPTIC-OPERATORS DIAGONAL SYSTEMS AND VARIATIONAL INTEGRALS
BALDES, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104
UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104
BALDES, A
[J].
MANUSCRIPTA MATHEMATICA,
1986,
55
(3-4)
: 467
-
486
[2]
REGULARITY THEOREMS FOR WEAK SOLUTIONS OF SOME NON-LINEAR SYSTEMS
CAFFARELLI, LA
论文数:
0
引用数:
0
h-index:
0
CAFFARELLI, LA
[J].
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1982,
35
(06)
: 833
-
838
[3]
Capogna L, 1997, COMMUN PUR APPL MATH, V50, P867, DOI 10.1002/(SICI)1097-0312(199709)50:9<867::AID-CPA3>3.0.CO
[4]
2-3
[5]
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hormander type
Capogna, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Capogna, L
Garofalo, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Garofalo, N
[J].
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,
2003,
5
(01)
: 1
-
40
[6]
Capogna L, 1999, MATH ANN, V313, P263, DOI 10.1007/s002080050261
[7]
AN EMBEDDING THEOREM AND THE HARNACK INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS
CAPOGNA, L
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
CAPOGNA, L
DANIELLI, D
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
DANIELLI, D
GAROFALO, N
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
GAROFALO, N
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1993,
18
(9-10)
: 1765
-
1794
[8]
THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS
FABES, EB
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
FABES, EB
KENIG, CE
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
KENIG, CE
SERAPIONI, RP
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
SERAPIONI, RP
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1982,
7
(01)
: 77
-
116
[9]
Harnack inequality for two-weight subelliptic p-Laplace operators
论文数:
引用数:
h-index:
机构:
Ferrari, F
[J].
MATHEMATISCHE NACHRICHTEN,
2006,
279
(08)
: 815
-
830
[10]
REPRESENTATION FORMULAS AND WEIGHTED POINCARE INEQUALITIES FOR HORMANDER VECTOR-FIELDS
FRANCHI, B
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
FRANCHI, B
LU, G
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
LU, G
WHEEDEN, RL
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
WHEEDEN, RL
[J].
ANNALES DE L INSTITUT FOURIER,
1995,
45
(02)
: 577
-
604
←
1
2
3
→
共 23 条
[1]
DEGENERATE ELLIPTIC-OPERATORS DIAGONAL SYSTEMS AND VARIATIONAL INTEGRALS
BALDES, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104
UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104
BALDES, A
[J].
MANUSCRIPTA MATHEMATICA,
1986,
55
(3-4)
: 467
-
486
[2]
REGULARITY THEOREMS FOR WEAK SOLUTIONS OF SOME NON-LINEAR SYSTEMS
CAFFARELLI, LA
论文数:
0
引用数:
0
h-index:
0
CAFFARELLI, LA
[J].
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1982,
35
(06)
: 833
-
838
[3]
Capogna L, 1997, COMMUN PUR APPL MATH, V50, P867, DOI 10.1002/(SICI)1097-0312(199709)50:9<867::AID-CPA3>3.0.CO
[4]
2-3
[5]
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hormander type
Capogna, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Capogna, L
Garofalo, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
Garofalo, N
[J].
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,
2003,
5
(01)
: 1
-
40
[6]
Capogna L, 1999, MATH ANN, V313, P263, DOI 10.1007/s002080050261
[7]
AN EMBEDDING THEOREM AND THE HARNACK INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS
CAPOGNA, L
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
CAPOGNA, L
DANIELLI, D
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
DANIELLI, D
GAROFALO, N
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Purdue University, West Lafayette, IN
GAROFALO, N
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1993,
18
(9-10)
: 1765
-
1794
[8]
THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS
FABES, EB
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
FABES, EB
KENIG, CE
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
KENIG, CE
SERAPIONI, RP
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MINNESOTA,MINNEAPOLIS,MN 55455
SERAPIONI, RP
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1982,
7
(01)
: 77
-
116
[9]
Harnack inequality for two-weight subelliptic p-Laplace operators
论文数:
引用数:
h-index:
机构:
Ferrari, F
[J].
MATHEMATISCHE NACHRICHTEN,
2006,
279
(08)
: 815
-
830
[10]
REPRESENTATION FORMULAS AND WEIGHTED POINCARE INEQUALITIES FOR HORMANDER VECTOR-FIELDS
FRANCHI, B
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
FRANCHI, B
LU, G
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
LU, G
WHEEDEN, RL
论文数:
0
引用数:
0
h-index:
0
机构:
WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
WHEEDEN, RL
[J].
ANNALES DE L INSTITUT FOURIER,
1995,
45
(02)
: 577
-
604
←
1
2
3
→