Can I read Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”, this archive, volume 106 (1989): 97–159 on EtoBox?

Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”, this archive, volume 106 (1989): 97–159 by Mariano Giaquinta; Giuseppe Modica; Jiří Souček is a Mathematics article available to read on EtoBox.

What is Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”, this archive, volume 106 (1989): 97–159 about?

Our proof of Theorem 1 of [3] p. 107 is not correct since the claim (iii) of Proposition 1 is false. Moreover it is not clear whether the space Cart (/2, R x) in Definition 1 is dosed. Because of this, to minimize functionals in Cart (/2, R N) becomes unreasonable. Our idea was to consider the smallest closed set with respect to weak convergence in cg containing the graphs of regular mappings. According to that, the definition of Cart (/2, R N) has to be changed into the following Definition 1. Cart (/2, R N) is the smallest sequentially closed set in ~ (with respect to weak convergence of sequences in ~) containing the graphs of C 1 mappings from ~ into R N.

Who reads Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”, this archive, volume 106 (1989): 97–159?

Author

Mariano Giaquinta; Giuseppe Modica; Jiří Souček

Publisher

Springer; Springer-Verlag; Springer Verlag; Springer Science and Business Media LLC (ISSN 0003-9527)

Published

1990

Language

EN

Field

Mathematics (Physical Sciences)