Local minimizers and rearrangements |
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| Authors: | Andrea Cianchi |
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| Affiliation: | (1) Istituto di Matematica, Facoltà di Architettura, Università di Firenze, via dell' Agnolo 14, 50122 Firenze, Italy |
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| Abstract: | We are concerned witha priori estimates for functionsu which locally minimize, in the topology ofL , functionals of the Calculus of Variations. Sharp pointwise upper bounds for the spherically symmetric rearrangement ofu are proved. Such result enables us to get conditions for the boundedness ofu and estimates for ess sup¦u¦. |
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| Keywords: | A priori estimates Calculus of Variations Symmetrization |
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