Singular minimizers of strictly polyconvex functionals in ${\bf R}^{2 \times 2}

We give examples of non-C1 one-homogeneous mappings and non-negative strictly polyconvex functions f such that where B denotes the unit ball in . Such u are therefore singular minimizers of the corresponding strictly polyconvex functionals in appropriate Sobolev spaces.

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2005-08, Vol.23 (3), p.347-372
Main Author: Bevan, Jonathan
Format: Article
Language:English
Subjects:
Sobolev space
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Summary:We give examples of non-C1 one-homogeneous mappings and non-negative strictly polyconvex functions f such that where B denotes the unit ball in . Such u are therefore singular minimizers of the corresponding strictly polyconvex functionals in appropriate Sobolev spaces.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-004-0305-6