Calculus of Variations and Geometric Measure Theory

C. De Lellis

Some remarks on the distributional Jacobian

created on 01 May 2001
modified by delellis on 03 May 2011


Published Paper

Inserted: 1 may 2001
Last Updated: 3 may 2011

Journal: Nonlinear Analysis: Theory, Methods and Applications
Volume: 53
Pages: 1101-1114
Year: 2003


In this paper we prove a strong coarea-type formula and a chain rule for distributional Jacobians of some classes of maps and we point out a connection with the two formulas. In particular we give a partial answer to a question arisen by Jerrard and Soner in 9.

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Keywords: distributional Jacobians, BnV functions, coarea formula, chain rule