科研之友
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摘要
We show that large positive solutions exist for the following equation Delta u |Vu|(q) = p(x)f (u) (P ) in Omega subset of R-N(N >= 3) in which the domain Omega is either bounded or equal to R-N. The nonnegative function p is continuous and may vanish on large parts of Omega. If Omega = R-N, then p must satisfy a decay condition integral(0)(infinity)r phi(r)dr < infinity, where p(x) = max p(x)(|x|=r) as |x| -> infinity. Furthermore, we show that the given conditions on p are nearly optimal for equation (p ).
- 出版日期2005-5
- 单位上海交通大学
