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Neumann problems an...
Neumann problems and isocapacitary inequalities
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- Cianchi, A. (author)
- Dipartimento di Matematica e Applicazioni per l'Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, Italy
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- Maz´ya, Vladimir G. (author)
- Linköpings universitet,Tekniska högskolan,Tillämpad matematik
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(creator_code:org_t)
- Elsevier BV, 2008
- 2008
- English.
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In: Journal des Mathématiques Pures et Appliquées. - : Elsevier BV. - 0021-7824 .- 1776-3371. ; 89:1, s. 71-105
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Abstract
Subject headings
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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
Publication and Content Type
- ref (subject category)
- art (subject category)
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