International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 5, Pages 305-313

Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack

Wided Chikouche and Aissa Aibèche

Département de Mathématiques, Centre Universitaire de Jijel, Ouled Aissa, BP 98, Jijel 18000, Algeria

Received 13 April 2001

Copyright © 2003 Wided Chikouche and Aissa Aibèche. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper concerns the biharmonic problem of Neumann type in a sector V. We give a representation of the solution u of the problem in a form of a series u=αECαrαϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of variables.