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| URI: | http://purl.tuc.gr/dl/dias/E5420A8D-76F7-4042-9356-DC4E6C61ED51 | ||
| Year | 2003 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | D.A. Kandilakis, A.N. Lyberopoulos, "Multiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in Rn," Comm. Math. Univ. Carolinae, vol. 44, no. 4, pp. 645–658, 2003. | ||
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We show that, under appropriate structure conditions, the quasilinear Dirichletproblem(− div(|∇u|p−2∇u) = f(x, u), x ∈ Ω,u = 0, x ∈ ∂Ω,where Ω is a bounded domain in Rn, 1 < p < +∞, admits two positive solutions u0, u1in W1,p0(Ω) such that 0 < u0 ≤ u1 in Ω, while u0 is a local minimizer of the associatedEuler-Lagrange functional
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