Boundary value problems for a compressible Stokes system in bounded domains in

Some boundary value problems of Dirichlet and Neumann types ssociated with a compressible Stokes system are studied from the point of view of the theory of hydrodynamic potentials. Existence and uniqueness results as well as boundary integral representations of classical solutions are given in the case of bounded domains in R n having compact but not connected boundaries of class C 1 , α , 0 < α ≤ 1 .