The calculus of variations for multiple integrals depending on higher order derivatives (Q1064596)
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scientific article; zbMATH DE number 3919406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The calculus of variations for multiple integrals depending on higher order derivatives |
scientific article; zbMATH DE number 3919406 |
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The calculus of variations for multiple integrals depending on higher order derivatives (English)
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1984
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A differential geometric formulation of the calculus of variations for the case of multiple integrals depending on higher order derivatives is proposed. It generalizes the Lepage-Dedecker theory of variational problems with first derivatives. Sufficient conditions for extrema are obtained based on the notion of geodesic field, introduced by the author. The general results are illustrated by an example of a rigid plate.
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differential geometric formulation of the calculus of variations
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multiple integrals
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higher order derivatives
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Lepage-Dedecker theory
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rigid plate
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