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Weighted generalized Korn inequality on John domains

Published 14 Dec 2016 in math.AP | (1612.04449v1)

Abstract: The goal of this work is to show that the generalized Korn inequality that replaces the symmetric part of the differential matrix in the classical Korn inequality by its trace-free part is valid over John domains and weighted Sobolev spaces. The weights considered are nonnegative powers of the distance to the boundary.

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