El Khalil, A. and Ouanan, M. (2008) Boundary eigencurve problems involving the p-laplacian operator. Electronic Journal of Differential Equations, 2008. pp. 1-13.
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Abstract
In this paper, we show that for each λ ∈ ℝ, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem Δpu = |u|p-2u in Ω |∇u|p-2 ∂ν/∂u = λρ(x) |u|p-2u + μ|u|p-2u on ∂Ω also we show that the first eigenvalue is simple and isolated. Some results about their variation, density, and continuous dependence on the parameter λ are obtained. ©2008 Texas State University.
| Item Type: | Article |
|---|---|
| Subjects: | Mathematics |
| Divisions: | SCIENTIFIC PRODUCTION > Mathematics |
| Depositing User: | Administrateur Eprints Administrateur Eprints |
| Last Modified: | 31 Jan 2020 15:48 |
| URI: | http://eprints.umi.ac.ma/id/eprint/4188 |
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