Global Regularity for Minimizers of Some Anisotropic Variational Integrals

Hongya Gao (), Miaomiao Huang () and Wei Ren ()
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Hongya Gao: Hebei University
Miaomiao Huang: Hebei University
Wei Ren: Hebei University

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 2, No 11, 523-546

Abstract: Abstract We give regularity results for minimizers of two special cases of polyconvex functionals. Under some structural assumptions on the energy density, we prove that minimizers are either bounded, or have suitable integrability properties, by using the classical Stampacchia Lemma.

Keywords: Global regularity; Minimizer; Anisotropic variational integral; Stampacchia Lemma; 35A15; 35J20 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-020-01795-7

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