期刊论文

中文

数学物理学报

1003-3998

2009

29

6

1492-1499

国家自然科学基金（10471052）资助；

本校为其他机构

文中考虑了下面带奇异项的双调和方程{△~2u-μ/|x|αu=λg(x)|u|~(q-2)u+|u|~(2~*-2)u,x∈Ωu∈D_0~(2,2(Ω))其中0∈Ω为R~N,N≥5中的有界区域,0≤α,s

In this paper, the authors present a result on existence to the following singular biharmonic equation involving singular terms {δ2u-μ/｜x｜α μ = λg（x）μ＋k（x）｜μ｜q-2 μ＋｜μ｜2＊-2 μ, x ∈ Ω, μ ∈D02,2（Ω）, x ∈δΩ, where Ω is a bounded domain containing origin, Ω （ RN, N ≥ 5, 0 ≤ α, s 〈 4,2 〈 q 〈 2^＊（s） = 2（N-s）/N-4}, and g（x）, k（x） are nonnegative functions, the existence of solution is shown by variational method, the acquired function for the imbedding mapping D2,2（RN） → L2＊（RN） plays an im...