A Boundedness Result for Minimizers of Some Polyconvex Integrals |
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| Authors: | Menita Carozza Hongya Gao Raffaella Giova Francesco Leonetti |
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| Institution: | 1.Universitá del Sannio,Benevento,Italy;2.Hebei University,Baoding,China;3.Universitá di Napoli “Parthenope”,Naples,Italy;4.Universitá di L’Aquila,L’Aquila,Italy |
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| 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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