$L^p$-approximation of Jacobians

Malý, Jan

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Publication date

January 1991

Publisher

Charles University in Prague, Faculty of Mathematics and Physics

Language

English

Abstract

summary:The paper investigates the nonlinear function spaces introduced by Giaquinta, Modica and Souček. It is shown that a function from $\operatorname{Cart}^p(\Omega ,\bold R^m)$ is approximated by $\Cal C ^1$ functions strongly in $\Cal A^q(\Omega ,\bold R^m)$ whenever $q<p$. An example is shown of a function which is in $\operatorname{cart}^p(\Omega ,\bold R^2)$ but not in $\operatorname{cart}^p(\Omega ,\bold R^2)$

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$L^p$-approximation of Jacobians

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$L^p$-approximation of Jacobians

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