Abstract

In this paper we describe an indirect boundary integral equations method to solve the Dirichlet problem for Lame system in a multiply connected domain of \(\mathbb{R}^{n}\), n ≥ 2. In particular we show how to represent the solution in terms of a single-layer potential, instead of the classical double-layer potential. By using the theory of reducible operators and the theory of differential forms we treat also the double-layer potential ansatz for the traction problem.

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