This paper concerns some special properties of the principal eigenvalue of nonlinear elliptic systems with Dirichlet boundary conditions. We study the stability with respect to the exponents
and
;
and the dependence on the domain variations. Abdelouahed El Khalil, Mohammed Ouanan, Abdelfattah Touzani
Abstract:
This paper concerns some special properties of the principal eigenvalue
of nonlinear elliptic systems with Dirichlet boundary conditions.
We study the stability with respect to the exponents
and
;
and the dependence on the domain variations.
Published October 15, 2004.
Math Subject Classifications: 35P20, 35J70, 35J20.
Key Words: p-Laplacian operator; principal eigenvalue; stability;
segment property; dependence on the domain.
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Abdelouahed El Khalil Department of Mathematics and Industrial Genie Ecole Polytechnic School Montreal, Montreal, Canada email: lkhlil@hotmail.com |
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Mohammed Ouanan Department of mathematics Faculty of sciences Dhar-Mahraz P.O. Box 1796 Atlas Fez 30000, Morocco email :m_ouanan@hotmail.com |
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Abdelfattah Touzani Department of mathematics Faculty of sciences Dhar-Mahraz P.O. Box 1796 Atlas Fez 30000, Morocco email: atouzani@iam.net.ma |
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