The linear constraints in Poincaré and Korn type inequalities

Details The linear constraints in Poincaré and Korn type inequalities The linear constraints in Poincaré and Korn type inequalities

2006-01-27

arxiv.org/abs/math/0601667v2

Forum Mathematicum 28 (3) 2008, 557--569

Mathematics

Analysis of PDEs

Revised version

Scientific paper

10.1515/FORUM.2008.028

We investigate the character of the linear constraints which are needed for
Poincar\'e and Korn type inequalities to hold. We especially analyze
constraints which depend on restriction on subsets of positive measure and on
the trace on a portion of the boundary.

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