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.
| Department: | Department of Mathematics and Industrial Engineering |
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| 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: | 09 Jan 2026 16:51 |
| 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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