Zerouali, A. and Karim, B. (2016) Existence and non-existence of a positive solution for (p, q)-Laplacian with singular weights. Boletim da Sociedade Paranaense de Matematica, 34 (2). pp. 147-167.
Full text not available from this repository.Abstract
We use the Hardy-Sobolev inequality to study existence and nonexistence results for a positive solution of the quasilinear elliptic problem -Δpu - μΔqu = λmp(x)|u|p-2u + μmq(x)|u|q-2u in Ω driven by nonhomogeneous operator (p, q)-Laplacian with singular weights under the Dirichlet boundary condition. We also prove that in the case where μ > 0 and with 1 < q < p < ∞ the results are completely different from those for the usual eigenvalue problem for the p-Laplacian with singular weight under the Dirichlet boundary condition, which is retrieved when μ = 0. Precisely, we show that when μ > 0 there exists an interval of eigenvalues for our eigenvalue problem. © Soc. Paran. de Mat.
Item Type: | Article |
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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/4007 |
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