Quasilinear elliptic equation involving singular non-linearities

被引：2
|
作者：
Qing, Miao [1 ]
Yang, Zuodong [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Jiangsu Nanjing, Peoples R China
[2] Nanjing Normal Univ, Coll Zhongbei, Jiangsu Nanjing, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 06期
关键词：
quasilinear elliptic equation; singular; existence; uniqueness; large solutions; POSITIVE SOLUTIONS; EXISTENCE; NONEXISTENCE; UNIQUENESS;
D O I：
10.1080/00207160802322308
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence of solutions for the quasilinear elliptic equation -div(|del u|(p-2)del u) = a(x) g(u) + b(x) f (u) in Omega, under Dirichlet boundary conditions, where Omega subset of R-N is a bounded domain with smooth boundary. The most important fact here is that either g or f (or both of them) is singular at 0 if g(t), f (t)(t -> 0)->infinity. By means of a direct variational approach, we establish the existence of a solution with W-0(1, p) (Omega)-norms.
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页码：1338 / 1348
页数：11
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