Abstract and Applied Analysis
Volume 2 (1997), Issue 3-4, Pages 227-237
On a problem of lower limit in the study of nonresonance
Département de mathématiques, Université Mohamed I, Oujda, Morocco
Received 20 May 1997
Copyright © 1997 A. Anane and O. Chakrone. 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 prove the solvability of the Dirichlet problem for every given , under a condition involving only the asymptotic behaviour of the potential of with respect to the first
eigenvalue of the -Laplacian . More general operators are also considered.