Title of article
On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality Original Research Article
Author/Authors
Futoshi Takahashi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
2
From page
1216
To page
1217
Abstract
In this note, we study the sign of the Lagrange multiplier for a minimization problem related to the isoperimetric inequality for mappings. Though our minimization problem involves vector valued mappings defined on a domain in R2R2, our result is the same as the one for a minimization problem related to the Sobolev inequality for scalar valued functions in higher dimensions.
Keywords
Isoperimetric inequality , Lagrange multiplier , Volume functional
Journal title
Applied Mathematics Letters
Serial Year
2007
Journal title
Applied Mathematics Letters
Record number
898513
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