| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612359 | Journal of Differential Equations | 2006 | 21 Pages |
Abstract
The singularly perturbed boundary blow-up problem−ε2Δu=u(u−a)(1−u),u>0 in B,u=∞ on ∂B is studied in the unit ball B⊂RNB⊂RN (N⩾2N⩾2), a∈(1/2,1)a∈(1/2,1) is a constant. It is shown that for ε>0ε>0 sufficiently small, there exist exactly three positive solutions for the problem and all of them are radially symmetric solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zongming Guo, Feng Zhou,