Multiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in RnMultiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in Rn Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-292003enWe show that, under appropriate structure conditions, the quasilinear Dirichlet problem ( − 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, u1 in W1,p 0 (Ω) such that 0 < u0 ≤ u1 in Ω, while u0 is a local minimizer of the associated Euler-Lagrange functionalΔημοσίευση σε επιστημονικό περιοδικόhttp://creativecommons.org/licenses/by/4.0/Comm. Math. Univ. Carolinae444645–658 Kandylakis Dimitrios Κανδυλακης Δημητριος Lyberopoulos Athanasios p-Laplacian positive solutions sub- and supersolutions local minimizers Palais-Smale condition