Quasiconvex quadratic forms in two dimensions (Q1059844)
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scientific article; zbMATH DE number 3905306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasiconvex quadratic forms in two dimensions |
scientific article; zbMATH DE number 3905306 |
Statements
Quasiconvex quadratic forms in two dimensions (English)
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1984
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Soient f et g deux formes quadratiques réelles sur \({\mathbb{R}}^ n\). L'auteur donne des conditions pour que f-\(\lambda\) g soit positive définie (resp. semidéfinie). Il retrouve en particulier le fait que si \(n=N=2\), alors, pour une forme quadratique, on a les equivalences: conditions de Legendre-Hadamard \(\Leftrightarrow\) polyconvexité \(\Leftrightarrow\) quasiconvexité.
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quadratic forms in two dimensions
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Legendre-Hadamard condition
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polyconvexity
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quasiconvexity
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