Note on Lusin (N) condition and the distributional determinant

被引：10

作者：

D'Onofrio, Luigi ^{[1
]}

Hencl, Stanislav ^{[2
]}

Maly, Jan ^{[2
]}

Schiattarella, Roberta ^{[3
]}

机构：

[1] Univ Parthenope, Dipartimento Studi Econim & Giurid, Via Gen Parisi 13, I-80100 Naples, Italy

[2] Charles Univ Prague, Dept Math Anal, Sokolovska 83, Prague 18600 8, Czech Republic

[3] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 439卷 / 01期

关键词：

Distributional Jacobian; Lusin N-condition; FINITE DISTORTION; DEFORMATIONS; INVERTIBILITY; MAPPINGS;

D O I：

10.1016/j.jmaa.2016.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega subset of R-n be an open set. We show that for a continuous mapping f is an element of W-1,W-n-1(Omega, R-n) with Jf is an element of L-1 (Omega) the validity of the Lusin (N) condition implies that the distributional Jacobian equals to the pointwise Jacobian. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：171 / 182

页数：12

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