RICCATI INEQUALITY AND OSCILLATION CRITERIA FORPDE WITH p-LAPLACIAN
نویسنده
چکیده
in the exterior domain Ω(1) := {x ∈ RN : ‖x‖ > 1}, where p > 1, x = (x1, . . . ,xN ) ∈ RN , N ≥ 2, Du= (∂u/∂x1, . . . ,∂u/∂xN ), ‖x‖ is usual Euclidean norm in RN . Throughout this paper we will assume that (A1) p ∈ C loc(Ω(1)), 0 < μ < 1, and p > 1 constant, (A2) A = (Aij(x))N×N is a real symmetric positive define matrix function with Aij ∈ C 1+μ loc (Ω(1)), i, j = 1, . . . ,N , and 0 < μ < 1. Denote by λmin(x) the smallest eigenvalue of A. We suppose that there is a function λ∈ C([1,∞),R+) such that
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