BLD-mappings in W2,2 are locally invertible

被引:11
作者
Heinonen, J [1 ]
Kilpeläinen, T
机构
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[2] Univ Jyvaskyla, Dept Math, Jyvaskyla 40351, Finland
关键词
D O I
10.1007/s002080000129
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that mappings of bounded length distortion are local homeomorphisms if they have L-2-integrable weak second derivatives.
引用
收藏
页码:391 / 396
页数:6
相关论文
共 12 条
[1]  
[Anonymous], DISSERTATIONES MATH
[2]  
[Anonymous], 1992, MEASURE THEORY FINE
[3]  
Gutlyanskii VY, 1998, STUD MATH, V128, P243
[4]  
HEINONEN J, 1999, GEOMETRIC BRANCHED C, V240
[5]  
Heinonen J., 1993, Nonlinear Potential Theory of Degenerate Elliptic Equations
[6]   REGULARITY FOR MINIMA OF FUNCTIONALS WITH P-GROWTH [J].
MANFREDI, JJ .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 76 (02) :203-212
[7]  
Martio O, 1999, MATH NACHR, V205, P149
[8]   ELLIPTIC-EQUATIONS AND MAPS OF BOUNDED LENGTH DISTORTION [J].
MARTIO, O ;
VAISALA, J .
MATHEMATISCHE ANNALEN, 1988, 282 (03) :423-443
[9]  
MARTIO O, 1973, ANN ACAD SCI FENN A1, V541, P1
[10]  
Reshetnyak Y.G., 1989, TRANSLATIONS MATH MO, V73