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Let SI be a bounded domain in the n-dimensional Euclidean space E n . We assume, that the boundary T of the domain £2 is an (n -1) dimensional sufficiently regular surface. We denote by and A2 positive definite self-adjoint elliptic differential operators of the second order with constant coefficients. In the present paper we shall solve the boundary-value problem where du d is the transversal derivative of the function u with respect to the operator A2. This problem, will be analysed by meansdoi:10.1515/dema-1974-0204 fatcat:oyhsc3xiozanfoowq24a2qxx4q