Abdelouahed El Khalil, Mohammed Ouanan
Abstract:
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: alakhalil@imamu.edu.sa lkhlil@hotmail.com | |
Mohammed. Ouanan University Moulay Ismail, Faculty of Sciences et Technology Department of informatics P.O. Box 509, Boutalamine, 52000 Errachidia, Morocco email: m_ouanan@hotmail.com |
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