Abstract
We investigate the character of the linear constraints which are needed for Poincaré 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.
2000 Mathematics Subject Classification: 26D15; 35R45, 74B05.
Received: 2006-01-27
Revised: 2006-07-10
Accepted: 2006-11-01
Published Online: 2008-05-23
Published in Print: 2008-05-01
© Walter de Gruyter
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- Weinberg's theorem, Elliott's ultrasimplicial property, and a characterisation of free lattice-ordered Abelian groups
- Tamely ramified covers of varieties and arithmetic schemes
- Fractional estimates for non-differentiable elliptic systems with general growth
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Articles in the same Issue
- Realization of graded-simple algebras as loop algebras
- Cyclic coverings and Seshadri constants on smooth surfaces
- Relating the Farrell Nil-groups to the Waldhausen Nil-groups
- Unoriented geometric functors
- The second main theorem for holomorphic curves into semiabelian varieties II
- Weinberg's theorem, Elliott's ultrasimplicial property, and a characterisation of free lattice-ordered Abelian groups
- Tamely ramified covers of varieties and arithmetic schemes
- Fractional estimates for non-differentiable elliptic systems with general growth
- The linear constraints in Poincaré and Korn type inequalities