Global Regularity for Minimizers of Some Anisotropic Variational Integrals

Global Regularity for Minimizers of Some Anisotropic Variational Integrals

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.

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Veröffentlicht in:Journal of optimization theory and applications 2021-02, Vol.188 (2), p.523-546
Hauptverfasser: Gao, Hongya, Huang, Miaomiao, Ren, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Engineering
Flux density
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Regularity
Theory of Computation
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Beschreibung
Zusammenfassung: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.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-020-01795-7