A Phragmen-Lindelof theorem for porous elastic cylinders

The paper is concerned with the equilibrium theory of elastic materials with voids. An analogue of the Phragmen-Lindelof principle Sor a semi-infinite right cylinder composed of a homogeneous and anisotropic material is presented. The paper studies the asymptotic behaviour of solutions measured by the cross-sectional work function. The work-function to within a rigid body displacement either decays faster than a certain decreasing exponential function or grows faster than a growing exponential function. A uniqueness result is also derived.