... 0asl ® 0+. □Proof of Theorem 1.1 From Theorem 4.3, it follows that the problem (1.1) has a posi-tive solutionuλ∈ N+λ for all l Î (0, Λ0). □5 Proof of Theorem 1.2 For 1 <p <N andμ< ... domain and p =2 ,the results of Theorems1.1, 1.2 are improvements of the main results of [18].Remark 1.5 As Ω is a bounded smooth domain and p ≠ 2, μ =0,then the results of Theorems 1.1, 1.2 ... <p <N, the results of Theorems 1.1, 1.2 are improvements of the main results of [11]. As μ <0and 1<q <p <N ≤ p2, Theorem 1.3 is the complement to the results in[[11], Theorem...