Comparison estimates in anisotropic variational problems

Comparison estimates in anisotropic variational problems

A pointwise inequality between the radially decreasing symmetrals of minimizers of (possibly) anisotropic variational problems and the minimizers of suitably symmetrized problems is established. As a consequence, a priori sharp estimates for norms of the relevant minimizers are derived.

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Veröffentlicht in:Manuscripta mathematica 2008-08, Vol.126 (4), Article 481
Hauptverfasser: Alberico, Angela, Cianchi, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Estimates
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Norms
Number Theory
Topological Groups
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Beschreibung
Zusammenfassung:A pointwise inequality between the radially decreasing symmetrals of minimizers of (possibly) anisotropic variational problems and the minimizers of suitably symmetrized problems is established. As a consequence, a priori sharp estimates for norms of the relevant minimizers are derived.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-008-0183-x