| 摘要: |
讨论一类退缩的拟线性椭圆方程在有界域K⊂RN上的Dirichlet问题:
(P){u|əK=0,-5·(g(|5u)|T|5u|T-25u)=λ(x)um+uq,u≥0,u≢0,in K,
,至少有两个正解的存在性,其中2 < 2T < N,0< m < 1,2T < q < q*-1,q*=(2TN/N-2T). |
| 关键词: 拟线性椭圆方程 正解 (PS)c序列 |
| DOI： |
| 投稿时间：1999-03-01 |
| 基金项目:广西大学数学与信息科学系科研基金资助。 |
|
| Multiplicity of Positive Solutions for a Class of Degenerated Quasilinear Elliptic Equations |
|
Guo Xinkang
|
| (Dept. of Math. & Info. Sci., Guangxi Univ., 10 Xixiangtanglu, Nanning, Guangxi, 530004, China) |
| Abstract: |
We obtain at least two positive solutions for the following problems(P):
{u|əK=0,-5·(g(|5u)|T|5u|T-25u)=λ(x)um+uq,u ≥ 0,u≢0,in K,
, where K⊂RN is a bounded domain with smooth boundary əK,2 < 2T < N,0 < m < 1,2T < q < q*-1 and q*=(2TN/N-2T). |
| Key words: quasilinear elliptic equations positive solutions (PS)c sequence |
