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

来源：

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

页码：391 / 396

页数：6

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
MANFREDI, JJ
[J]. 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
MARTIO, O
VAISALA, J
[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