| Asymptotic behavior of positive solutions of some quasilinear elliptic problems | |
| Guo, Zongming ; Ma, Li | |
| 2010-05-06 ; 2010-05-06 ; OCT | |
| 关键词 | EIGENVALUE PROBLEMS EQUATIONS UNIQUENESS MANIFOLDS EXISTENCE Mathematics |
| 中文摘要 | We discuss the asymptotic behavior of positive solutions of the quasilinear elliptic problem -Delta(p)u = au(p-1) - b(x)U-q, u\partial derivative Omega = 0, as q -> p - 1 + 0 and as q -> infinity, via a scale argument. Here Delta(p) is the (P)-Laplacian with 1 < p < infinity and q > p - 1. If p = 2, such problems arise in population dynamics. Our main results generalize the results for p = 2, but some technical difficulties arising from the nonlinear degenerate operator -Delta(p) are successfully overcome. As a by-product, we can solve a free boundary problem for a nonlinear p-Laplacian equation. |
| 语种 | 英语 ; 英语 |
| 出版者 | CAMBRIDGE UNIV PRESS ; NEW YORK ; 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13802]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Guo, Zongming,Ma, Li. Asymptotic behavior of positive solutions of some quasilinear elliptic problems[J],2010, 2010, OCT. |
| APA | Guo, Zongming,&Ma, Li.(2010).Asymptotic behavior of positive solutions of some quasilinear elliptic problems.. |
| MLA | Guo, Zongming,et al."Asymptotic behavior of positive solutions of some quasilinear elliptic problems".(2010). |
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