On Positive Solutions for a Class of p-Laplacian Problems
نویسندگان
چکیده
We consider the system ⎧ ⎪ ⎨ ⎪ ⎩ −Δ p u = λf (v) in Ω −Δ q v = μg(u) in Ω u = v = 0 on ∂Ω (I) where Δ p u = div(|∇u| p−2 ∇u), Δ q v = div(|∇v| q−2 ∇v), p, q > 1, Ω is the open unit ball in R N , N ≥ 2 and ∂Ω is its boundary. We establish upper and lower estimates for possible positive solutions of system(I).
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