Duc, Duong Minh2022-08-082022-08-082017-10-10Duc, D. M. (2017). Existence of solutions to superlinear p-Laplace equations without Ambrosetti-Rabinowizt condition. <i>Electronic Journal of Differential Equations, 2017</i>(251), pp. 1-10.1072-6691https://hdl.handle.net/10877/16045We study the existence of non-trivial weak solutions in W1,p0(Ω) of the super-linear Dirichlet problem -div(|∇u|p-2∇u) = ƒ(x, u) in Ω, u = 0 on ∂Ω, where ƒ satisfies the condition |ƒ(x, t)| ≤ |⍵(x)t|r-1 + b(x) ∀(x, t) ∈ Ω x ℝ, where r ∈ (p, Np/N-p), b ∈ L r/r-1 (Ω) and |⍵|r-1 may be non-integrable on Ω.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalNemytskii operatorsp-LaplacianMultiplicity of solutionsMountain-pass theoremArticle