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

Carozza M;Giova R;
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.
2018
Bounded; Integral; Local; Minimizer; Polyconvex; Control and Optimization; Management Science and Operations Research; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/37869
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