Existence and iteration of positive solutions for a singular two-point boundary value problem with a p-Laplacian operator |
| |
| Authors: | De-Xiang Ma Wei-Gao Ge Zhan-Ji Gui |
| |
| Affiliation: | (1) Department of Mathematics, North China Electric Power University, Beijing, 102206, P. R. China;(2) Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China;(3) Department of Computer Science, Hainan Normal University, Haikou, Hainan, 571158, P. R. China |
| |
| Abstract: | In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation (ϕ p (u′))′+q(t)f(u) = 0, 0 < t < 1, where ϕ p (s):= |s| p−2 s, p > 1, subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient q(t) may be singular at t = 0; 1. |
| |
| Keywords: | iteration symmetric and monotone positive solution nonlinear boundary value problem p-Laplacian |
| 本文献已被 SpringerLink 等数据库收录！ |
|
