About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Nečas, Jindřich ; Štípl, Miloš
A paradox in the theory of linear elasticity. (English). Aplikace matematiky, vol. 21 (1976), issue 6, pp. 431-433
MSC: 74E05 | MR 0423941 | Zbl 0398.73013 | DOI: 10.21136/AM.1976.103667
Keywords:
nonhomogeneous linear elastic medium
Summary:
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].
References:
[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
Partner of
EuDML logo