科研之友
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摘要
In this paper, a compact support principle is established for the elliptic differential inequality
Delta u + vertical bar del u vertical bar(p) >= K(x)f(u), u >= 0,
for vertical bar x vertical bar large, where p >= 1, K(x) >= 0, and f satisfies conditions (F1)-(F3) below. The main feature of this note is the presence of the gradient term vertical bar del u vertical bar(p) and the singular coefficient function K (x). The result is optimal in some sense related to the power p and the decaying rate of K(x) at infinity, and the proof is based on finding appropriate comparison functions. We also give a similar result in a bounded domain Omega of R-N (N >= 2).
- 出版日期2007-10-1
- 单位浙江大学
