Abdelouahed El Khalil, Said El Manouni and Mohammed Ouanan
Article (2005)
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Published Version Terms of Use: Creative Commons Attribution. Download (2MB) |
| Cite this document: | El Khalil, A., El Manouni, S. & Ouanan, M. (2005). Simplicity and stability of the first eigenvalue of a nonlinear elliptic system. International Journal of Mathematics and Mathematical Sciences, 2005(10), p. 1555-1563. doi:10.1155/ijmms.2005.1555 |
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Abstract
We prove some properties of the first eigenvalue for the elliptic system −∆pu = λ|u|α|v|βv in Ω, −∆qv = λ|u|α|v|βu in Ω, (u,v) ∈ W1,p 0 (Ω) ×W1,q 0 (Ω). In particular, the first eigenvalue is shown to be simple. Moreover, the stability with respect to (p,q) is established.
 Open Access document in PolyPublie |
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| Subjects: |
2950 Mathématiques appliquées > 2950 Mathématiques appliquées 2950 Mathématiques appliquées > 2952 Systèmes linéaires et non linéaires |
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| Department: | Département de mathématiques et de génie industriel |
| Research Center: | Non applicable |
| Date Deposited: | 17 Sep 2019 16:47 |
| Last Modified: | 18 Sep 2019 01:20 |
| PolyPublie URL: | https://publications.polymtl.ca/3663/ |
 Document issued by the official publisher |
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| Journal Title: | International Journal of Mathematics and Mathematical Sciences (vol. 2005, no. 10) |
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| Publisher: | Hindawi |
| Official URL: | https://doi.org/10.1155/ijmms.2005.1555 |
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