摘要
In the recent past many results have been established on positive solutions to boundary value problems of the form- div (|Du(x)| p-2 Du(x))=λf(u(x))} in} Ω, u(x)=0 on Ω,where λ>0, Ω is a bounded smooth domain and f(s)≥ 0 for s≥ 0 . In this paper we study a priori estimates of positive radial solutions of such problems when N>p>1, Ω=B 1={x∈R N ; | x |<1} and f∈C 1(0,∞)∩ C 0([0,∞)), f(0)=0 .
近几年对边值问题－ｄｉｖ（｜Ｄｕ｜ｐ－２Ｄｕ）＝λｆ（ｕ）｝在Ω上ｕ｜Ω＝０正解方面已经得到了许多结果．这里λ＞０，Ω是有界区域和对ｓ≥０，ｆ（ｓ）≥０．在本文中在条件Ｎ≥ｐ＞１，Ω＝Ｂ１＝｛ｘ∈ＲＮ，｜ｘ｜＜１｝和ｆ∈Ｃ１（０，∞）∩Ｃ０（［０，∞）），ｆ（０）＝０，研究了这类问题的正对称解的先验界估计．
