We consider polyconvex functionals of the Calculus of Variations defined on maps from the three-dimensional Euclidean space into itself. Counterexamples show that minimizers need not to be bounded. We find conditions on the structure of the functional, which force minimizers to be locally bounded.

A Boundedness Result for Minimizers of Some Polyconvex Integrals

Leonetti, Francesco
2018-01-01

Abstract

We consider polyconvex functionals of the Calculus of Variations defined on maps from the three-dimensional Euclidean space into itself. Counterexamples show that minimizers need not to be bounded. We find conditions on the structure of the functional, which force minimizers to be locally bounded.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/127766
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