Existence and multiplicity of positive solutions for discrete anisotropic equations
نویسندگان
چکیده
In this paper we consider the Dirichlet problem for a discrete anisotropic equation with some function α , a nonlinear term f , and a numerical parameter λ : ∆ ( α (k) |∆u(k − 1)|p(k−1)−2∆u(k − 1) ) + λf(k, u(k)) = 0, k ∈ [1, T ] . We derive the intervals of a numerical parameter λ for which the considered BVP has at least 1, exactly 1, or at least 2 positive solutions. Some useful discrete inequalities are also derived.
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