Abdelouahed El Khalil, Said El Manouni and Mohammed Ouanan
Article (2005)
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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.
| Subjects: |
2950 Applied mathematics > 2950 Applied mathematics 2950 Applied mathematics > 2952 Linear and non-linear systems |
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| Department: | Department of Mathematics and Industrial Engineering |
| PolyPublie URL: | https://publications.polymtl.ca/3663/ |
| Journal Title: | International Journal of Mathematics and Mathematical Sciences (vol. 2005, no. 10) |
| Publisher: | Hindawi |
| DOI: | 10.1155/ijmms.2005.1555 |
| Official URL: | https://doi.org/10.1155/ijmms.2005.1555 |
| Date Deposited: | 17 Sep 2019 16:47 |
| Last Modified: | 08 Apr 2025 21:41 |
| Cite in APA 7: | 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), 1555-1563. https://doi.org/10.1155/ijmms.2005.1555 |
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