par Azizieh, Céline 
Référence Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, page (1-32)
Publication Publié, 2001-09
Référence Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, page (1-32)
Publication Publié, 2001-09
Article révisé par les pairs
| Résumé : | In this paper, we extend to a system of the type: [-Δp1u=f(v) in Ω, u > 0 in Ω, u=0 on ∂Ω, [-Δp2v=g(u) in Ω, v > 0 in Ω, v=0 on ∂Ω, where Ω ⊂ ℝN is bounded, the monotonicity and symmetry results of Damascelli and Pacella obtained in [5] in the case of a scalar p-Laplace equation with 1 < p < 2. For this purpose, we use the moving hyperplanes method and we suppose that f,g: ℝ → ℝ+ are increasing on ℝ+ and locally Lipschitz continuous on ℝ and p1,P2 ∈ (1,2) or p1 ∈ (1, ∞),p2 = 2. |
