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Korn inequality on irregular domains

Renjin JiangAapo Kauranen

subject

Pure mathematicsInequalityKorn inequalityquasihyperbolic metricApplied Mathematicsmedia_common.quotation_subjectta111Mathematics::Analysis of PDEss-John domainPoincaré inequalitysymbols.namesakeMathematics - Analysis of PDEsMathematics - Classical Analysis and ODEsPoincaré inequalityClassical Analysis and ODEs (math.CA)FOS: Mathematicssymbolsdivergence equationBoundary value problem26D10 35A23AnalysisAnalysis of PDEs (math.AP)Mathematicsmedia_common

description

Abstract In this paper, we study the weighted Korn inequality on some irregular domains, e.g., s-John domains and domains satisfying quasihyperbolic boundary conditions. Examples regarding sharpness of the Korn inequality on these domains are presented. Moreover, we show that Korn inequalities imply certain Poincare inequality.

yearjournalcountryeditionlanguage
2013-07-04Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2014.09.076http://juuli.fi/Record/0009055115