Neumann problems and isocapacitary inequalities
2008 (English)In: Journal des Mathématiques Pures et Appliquées, ISSN 0021-7824, Vol. 89, no 1, 71-105 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 89, no 1, 71-105 p.
A priori estimates, Capacity, Elliptic equations, Rearrangements
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47288DOI: 10.1016/j.matpur.2007.10.001OAI: oai:DiVA.org:liu-47288DiVA: diva2:268184