Abstract

In the paper we obtained a nonsmooth version of the implicit function theorem. We proved the implicit function theorem for mappings with Sobolev’s derivatives. Our method of proof uses a normalized Jacobi matrix.

Details

Title
An inplicit function theorem for sobolev mappings
Author
Zhuravlev, Igor Vladimirovich
Section
MATHEMATICS
Publication year
2012
Publication date
Sep 2012
Publisher
Volgograd State University
ISSN
2409-1782
Source type
Scholarly Journal
Language of publication
English; Russian
ProQuest document ID
2094642498
Copyright
© 2012. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the terms of the License.