A Boundedness Result for Minimizers of Some Polyconvex Integrals

Menita Carozza (), Hongya Gao (), Raffaella Giova () and Francesco Leonetti ()
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Menita Carozza: Universitá del Sannio
Hongya Gao: Hebei University
Raffaella Giova: Universitá di Napoli “Parthenope”
Francesco Leonetti: Universitá di L’Aquila

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 3, No 2, 699-725

Abstract: 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.

Keywords: Local; Bounded; Minimizer; Polyconvex; Integral; 49N60; 35J50 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1335-0

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