International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 10, Pages 1525-1537
A nonlinear boundary problem involving the -bilaplacian operator
1Department of Mathematics and Industrial Engineering, Polytechnic School of Montreal, Montreal H3C 3A7, QC, Canada
2Department of Mathematics, Faculty of Sciences Dhar-Mahraz, University Sidi Med Ben Abdellah, P.O. Box 1796 Atlas, Fez 30000, Morocco
Received 8 January 2005; Revised 3 May 2005
Copyright © 2005 Abdelouahed El Khalil et al. 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.
We show some new Sobolev's trace embedding that we
apply to prove that the fourth-order nonlinear boundary conditions in and on possess at least one nondecreasing sequence of positive eigenvalues.