Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636990 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
In this paper, our main purpose is to consider the quasilinear equationdiv(|âu|p-2âu)=m(x)f(u)on a domain Ω â RN, N ⩾ 3, where f is a nonnegative, nondecreasing continuous function which vanishes at the origin, and m is a nonnegative continuous function with the property that any zero of m is contained in a bounded domain in Ω such that m is positive on its boundary. For Ω bounded, we show that a nonnegative solution u satisfying u(x) â â as x â âΩ exists. For Ω un-boundary (including Ω = RN), we show that a similar result holds where u(x) â â as â£xâ£Â â â within Ω and u(x) â â as x â âΩ.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zuodong Yang,