Abstract
Here, ∂ ν is the outward normal derivative. Problem (2) is obviously related to acoustic wave propagation in polluted media. Additionally, the separation of vari ables in the elasticity system in an isotropic space with cylindrical holes [1] or in the Steklov problem for sur face waves propagating over a liquid layer with vertical cylindrical columns [2] (Fig. 1b) also leads to a Neu mann spectral problem. The boundary value problem (2) is associated [3, Section 10.1] with a positive self adjoint operator in L2(ΠR) with the domain H(ΠR) (Lebesgue and Sobo ΠR 2 \ R α1 1 2 – α2 1 2 – , ⎝ ⎠ ⎛ ⎞ ,
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