摘要
考虑含Hardy位势:1/|x|2,N≥3;1/(|x|lnR/|x|)2,N=2,的椭圆型偏微分方程的特征值问题.在空间H01(Ω)中该问题解的存在性已有文献给出了一个(近乎)充分必要条件,但我们在一个新空间中证明了它的可解性。
Eigenvallue problems of elliptic partial differential equations with Hardy potential are considered: 1/│x│^2, N/〉 3 ; 1/( │x│^2 InR/│x│^2, N = 2. It shows that necessary conditions are given to the solution of these problems in H0^1 (Ω) . A solution has been proved in a new space.
出处
《贵州科学》
2011年第3期24-27,共4页
Guizhou Science