Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups

被引:101
作者
Garofalo, N [1 ]
Vassilev, D [1 ]
机构
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
关键词
D O I
10.1007/s002080000127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:453 / 516
页数:64
相关论文
共 80 条
[1]  
AUBIN T, 1976, B SCI MATH, V100, P149
[2]  
AUBIN T, 1976, J MATH PURE APPL, V55, P269
[3]  
Aubin T., 1976, J. Di ff erential Geom., V11, P573
[4]  
Aubin Thierry, 1982, GRUNDLEHREN MATH WIS, V252
[6]  
BURGER N, 1978, CR ACAD SCI A MATH, V286, P139
[7]   AN EMBEDDING THEOREM AND THE HARNACK INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS [J].
CAPOGNA, L ;
DANIELLI, D ;
GAROFALO, N .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (9-10) :1765-1794
[8]  
Capogna L, 1998, MATH RES LETT, V5, P541
[9]  
Capogna L, 1996, AM J MATH, V118, P1153
[10]   Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Caratheodory metrics [J].
Capogna, L ;
Garofalo, N .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1998, 4 (4-5) :403-432