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We study the existence of p-harmonic solutions for the Steklov problem ∆pu = 0 in Ω, |∇u|p−2 ∂u ∂ν = f(x, u) on ∂Ω, under assumptions on the asymptotic behavior of the quotients f(x, s)/|s|p−2s and… (More)

. The operator ∆p(x) := div(|∇u| ∇u) is the p(x)Laplacian, which becomes p-Laplacian when p(x) ≡ p (a constant). Nonlinear boundary value problems with variable exponent has been received… (More)

In this article, we study the existence of the eigencurves for a Steklov problem and we obtain their variational formulation. Also we prove the simplicity and the isolation results of each point of… (More)

In the present paper, we study the existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator (p, q)-Laplacian with indefinite weights at resonance… (More)

In this paper we prove existence and uniqueness of classical solutions for the non-autonomous inhomogeneous Cauchy problem d dt u(t) = A(t)u(t) + f(t), 0 ≤ s ≤ t ≤ T, L(t)u(t) = Φ(t)u(t) + g(t), 0 ≤… (More)

In this paper we consider the eigenvalue problem − pu = λ(m)|u|p−2u, u ∈ W 1,p 0 ( ) where p > 1, p is the p-Laplacian operator, λ > 0, is a bounded domain in R(N ≥ 1) and m is a given positive… (More)