Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents
نویسندگان
چکیده
In this article, we are interested in the existence of positive solutions for the following Kirchhoff type system −M1 (∫ Ω |x| −ap|∇u|p dx ) div(|x|−ap|∇u|p−2∇u) = λ|x|−(a+1)p+c1 (f(v)− 1 uα ) in Ω, −M2 (∫ Ω |x| −bq |∇v|q dx ) div(|x|−bq |∇v|q−2∇v) = λ|x|−(b+1)q+c2 (g(u)− 1 vβ ) in Ω, u = v = 0 on ∂Ω, (1) where Ω is a bounded smooth domain of R with 0 ∈ Ω, 1 < p, q < N , 0 ≤ a, b < N−p p , c1, c2 > 0, α, β ∈ (0, 1), λ is a parameter, f, g : (0,∞) → (0,∞) are C nondecreasing functions and M1,M2 : Ω → R satisfy the following condition
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