WEIGHTED POINCARE INEQUALITIES FOR HORMANDER VECTOR-FIELDS AND LOCAL REGULARITY FOR A CLASS OF DEGENERATE ELLIPTIC-EQUATIONS

被引：30
作者：
FRANCHI, B
LU, G
WHEEDEN, RL
机构：
[1] WRIGHT STATE UNIV,DEPT MATH,DAYTON,OH 45435
[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
[3] INST ADV STUDY,PRINCETON,NJ 08540
来源：
POTENTIAL ANALYSIS | 1995年 / 4卷 / 04期
关键词：
HORMANDER VECTOR FIELDS; POINCARE INEQUALITY; RELATIVE ISOPERIMETRIC INEQUALITY; HARNACKS INEQUALITY;
D O I：
10.1007/BF01053453
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we state weighted Poincare inequalities associated with a family of vector fields satisfying Hormander rank condition. Then, applications are given to relative isoperimetric inequalities and to local regularity (Harnack's inequality) for a class of degenerate elliptic equations with measurable coefficients.
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收藏
页码：361 / 375
页数：15
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