Regularity for a nonlinear variational problem in dimension two (Q1313291)
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scientific article; zbMATH DE number 490668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity for a nonlinear variational problem in dimension two |
scientific article; zbMATH DE number 490668 |
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Regularity for a nonlinear variational problem in dimension two (English)
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6 February 1994
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Some regularity results for critical points of functionals, defined on the set of the maps between the ball \(B^ 2 = \{z\in \mathbb{R}^ 2,\;| z| \leq 1\}\) and a compact manifold, are proved. Such critical points are characterized as weakly harmonic section of a fiber bundle with two- dimensional base and any arbitrary compact manifold as section. It is proved that such sections are regular.
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regularity
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critical points
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functionals
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weakly harmonic section
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fiber bundle
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