The linear constraints in Poincar\'{e} and Korn type inequalities

01/2006; DOI:10.1515/FORUM.2008.028
Source: arXiv

ABSTRACT 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. Comment: Revised version

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