... of problem 1.2,theni u ∈ LqΩ for all q ∈ 2, ∞;ii uy, z → 0 as |z|→0 uniformly for y ∈ ω and u ∈ C1,αΩ for any 0 <α<1;iii for any ∈ 0, 1 μ1, there exist positive ... may assume R0 R ,and ∈ 0, δ0 where R0, R and δ0are given in f3 and a3, respectively.Boundary Value Problems 15Lemma 4.2. Assume a1, a3 and f1–f3 hold. For any fixed k>1,thereexists>0,t>0such ... CorporationBoundary Value ProblemsVolume 2009, Article ID 687385, 20 pagesdoi:10.1155/2009/687385 Research Article Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in...