An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions

DOI10.1515/jaa.2011.008zbMath1276.31001OpenAlexW2077340264MaRDI QIDQ2865582

Fuchs, Martin

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.008

zbMATH Keywords

Sobolev spacesholomorphic functionsKorn type inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation in the complex plane (30E10) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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Cites Work

• An application of a new coercive inequality to variational problems studied in general relativity and in Cosserat elasticity giving the smoothness of minimizers
• Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
• Generalized Korn's inequality and conformal Killing vectors