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Comparison estimates in anisotropic variational problems
Authors:Angela Alberico  Andrea Cianchi
Affiliation:(1) Istituto per le Applicazioni del Calcolo “M. Picone”, Sez. Napoli-C.N.R., Via P. Castellino 111, 80131 Napoli, Italy;(2) Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy
Abstract:
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.
Keywords:Mathematics Subject Classification (2000) 49N60
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