Abdelouahed El Khalil, Mohammed Ouanan
In this paper, we show that for each , there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem
also we show that the first eigenvalue is simple and isolated. Some results about their variation, density, and continuous dependence on the parameter are obtained.
Editor's note: After publication, we learned that this article is an unauthorized copy of "On the principal eigencurve of the p-Laplacian related to the Sobolev trace embedding", Applicationes Mathematicae, 32, 1 (2005), 1-16. The authors alone are responsible for this action which may be in violation of the Copyright Laws.
Submitted September 16, 2007. Published May 27, 2008.
Math Subject Classifications: 35P30, 35J20, 35J60.
Key Words: p-Laplacian operator; nonlinear boundary conditions; principal eigencurve; Sobolev trace embedding.
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| Abdelouahed El Khalil |
Department of mathematics, College of Sciences
Al-Imam Muhammad Ibn Saud Islamic University
P. Box 90950, Riyadh 11623 Saudi Arabia
email: firstname.lastname@example.org email@example.com
| Mohammed. Ouanan |
University Moulay Ismail, Faculty of Sciences et Technology
Department of informatics
P.O. Box 509, Boutalamine, 52000 Errachidia, Morocco
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