Article

# The linear constraint in Poincaré and Korn type inequalities

(Impact Factor: 0.96). 01/2006; 20(3). 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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Available from: Antonino Morassi, Jan 29, 2013
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• "Finally, we would like to recall the following propositions. The first is a version of Poincarè inequality dealing with functions that vanish on an open portion of the boundary (see [15], or [3] for a precise evaluation of the constants in terms of the Poincaré constant of the domain and the measure of the portion of the boundary of the domain where the function vanishes on). The second is a Caccioppoli-type inequality for (4.1), which can be found in [12]. "
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