Dead cores of singular Dirichlet boundary value problems with φ-Laplacian

被引：8
作者：
Agarwal, Ravi P. [1 ]
O'Regan, Donal [2 ]
Stanek, Svatoslav [3 ]
机构：
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
[3] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77900, Czech Republic
来源：
APPLICATIONS OF MATHEMATICS | 2008年 / 53卷 / 04期
关键词：
singular Dirichlet boundary value problem; dead core; positive solution; dead core solution; pseudodead core solution; existence; phi-Laplacian;
D O I：
10.1007/s10492-008-0031-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
引用
收藏
页码：381 / 399
页数：19
相关论文
共 9 条
1