Abstract
AbstractFor the theory of boundary value problems in linear elasticity, it is of crucial importance that the space of vector‐valued L2‐functions whose symmetrized Jacobians are square‐integrable should be compactly embedded in L2. For regions with the cone property this is usually achieved by combining Korn's inequalities and Rellich's selection theorem. We shall show that in a class of less regular regions Korn's second inequality fails whereas the desired compact embedding still holds true.
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