Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 29, Issue 4, Pages 445-478Publisher
WILEY
DOI: 10.1002/mma.696
Keywords
elasticity theory; elastic chiral materials; potential theory; boundary value problems
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By the potential method, we investigate the Dirichlet and Neumann boundary value problems of the elasticity theory of hemitropic (chiral) materials in the case of Lipschitz domains. We study properties of the single- and double-layer potentials and of certain, generated by them, boundary integral operators. These results are applied to reduce the boundary value problems to the equivalent first and the second kind integral equations and the uniqueness and existence theorems are proved in various function spaces. Copyright (c) 2005 John Wiley & Sons, Ltd.
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