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Neumann problems and isocapacitary inequalities

Cianchi, A. (author)
Dipartimento di Matematica e Applicazioni per l'Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy
Maz´ya, Vladimir G. (author)
Linköpings universitet,Tekniska högskolan,Tillämpad matematik
 (creator_code:org_t)
Elsevier BV, 2008
2008
English.
In: Journal des Mathématiques Pures et Appliquées. - : Elsevier BV. - 0021-7824 .- 1776-3371. ; 89:1, s. 71-105
  • Journal article (peer-reviewed)
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  • A priori bounds for solutions to (nonlinear) elliptic Neumann problems in open subsets O of Rn are established via inequalities relating the Lebesgue measure of subsets of O to their relative capacity. Both norm and capacitary estimates for solutions, and norm estimates for their gradients are derived which improve classical results even in the case of the Laplace equation. © 2007 Elsevier Masson SAS. All rights reserved.

Keyword

A priori estimates
Capacity
Elliptic equations
Rearrangements
TECHNOLOGY
TEKNIKVETENSKAP

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art (subject category)

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