Rearrangement in variational inequalities
type: Item
instance of: scholarly article
title: Rearrangement in variational inequalities
zbMATH Open document ID: 0563.49005
DOI: 10.1007/BF01762536
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1984-01-01T00:00:00Z
review text: The authors establish some isoperimetric inequalities for the solution of an obstacle problem in the case the coincidence set reaches the boundary. An optimal lower bound for the measure of the coincidence set is also obtained. The method of proof is based on the technique of rearrangements developed by \textit{G. Talenti} for the Dirichlet problem [Ann. Sc. Norm. Sup. Pisa, Cl. Sci., IV Ser. 3, 697-718 (1976; Zbl 0341.35031)].
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 3897670
zbMATH Keywords: isoperimetric inequalities
zbMATH Keywords: obstacle problem
zbMATH Keywords: coincidence set
zbMATH Keywords: rearrangements
author: Catherine Bandle
author: J. Mossino
reviewed by: Vesa Mustonen
MaRDI profile type: Publication
cites work: Q3876353
cites work: Q3317640
cites work: Q4758141
cites work: Q3905599
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Q4108681
cites work: Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
cites work: Some special properties of solutions to obstacle problems
cites work: Q3322481
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description: scientific article; zbMATH DE number 3897670