Search results for "s-John domain"

showing 2 items of 2 documents

Korn inequality on irregular domains

2013

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.

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_commonJournal of Mathematical Analysis and Applications
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Sharpness of uniform continuity of quasiconformal mappings onto s-John domains

2017

We construct examples to show the sharpness of uniform continuity of quasiconformal mappings onto $s$-John domains. Our examples also give a negative answer to a prediction in [7].

Pure mathematicsMathematics - Complex VariablesGeneral Mathematics010102 general mathematicsta111s-John domainquasiconformal mappinginternal diameter16. Peace & justice01 natural sciencesNegative - answerUniform continuity30C62 30C65FOS: Mathematics0101 mathematicsinternal metricComplex Variables (math.CV)Construct (philosophy)Mathematicsuniform continuity
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