IJPAM: Volume 80, No. 5 (2012)
A CLASS OF EIGENVALUE PROBLEMS
FOR THE
-LAPLACIAN IN
FOR THE


Nawel Benouhiba
, Zahia Belyacine
Department of Mathematics
LAM, Badji Mokhtar-Annaba University
P.O. Box 12, El Hadjar, 23000, Annaba, ALGERIA



LAM, Badji Mokhtar-Annaba University
P.O. Box 12, El Hadjar, 23000, Annaba, ALGERIA
Abstract. This paper concerns the study of a nonlinear eigenvalue problem for the Laplacian with a positive weight
Using the Mountain-Pass Theorem, we show the existence of a continuous set of positive eigenvalues.
Received: August 28, 2012
AMS Subject Classification: 35B33, 35B45, 35J60, 35J70
Key Words and Phrases: -Laplacian, eigenvalue, Weak solution, Palais-Smale condition
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5