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nonhomogeneous linear elastic medium
Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].
[1] E. De Giorgi: Un essempio di estremali discontinue per un problema variazionele di tipo ellitico. Boll. U. M. I., Vol. I., 1968, 135-137. MR 0227827
[2] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Praha 1967. MR 0227584
[3] L. F. Nye: Physical properties of crystals. Oxford 1957. Zbl 0079.22601
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