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 |
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container_title | Manuscripta mathematica |
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creator | Alberico, Angela Cianchi, Andrea |
description | 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. |
doi_str_mv | 10.1007/s00229-008-0183-x |
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subjects | Algebraic Geometry Calculus of Variations and Optimal Control Optimization Estimates Geometry Lie Groups Mathematics Mathematics and Statistics Norms Number Theory Topological Groups |
title | Comparison estimates in anisotropic variational problems |
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