Existence and Bifurcation of the Positive Solutions for a Semilinear Equation with Critical Exponent
Existence and Bifurcation of the Positive Solutions for a Semilinear Equation with Critical Exponent
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DOI：
10.1006/jdeq.1996.0138
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发表时间：
1996-09
影响因子：
2.4
通讯作者：
Yinbin Deng;Yi A. Li
中科院分区：
文献类型：
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作者：
Yinbin Deng;Yi A. Li
本文考虑半线性椭圆型方程[公式]对于p =2N/（N−2），证明了存在一个正常数μ*>0使得（μ）μ在μ∈（0，μ*）时至少有一个解，而在μ>μ* 时无解.当μ=μ* 时，（μ）μ有唯一解，当μ∈（0，μ*）和2时，（μ）μ至少有两个解
Abstract In this paper, we consider the semilinear elliptic equation[formula]Forp=2N/(N−2), we show that there exists a positive constantμ*>0 such that (∗)μpossesses at least one solution ifμ∈(0, μ*) and no solutions ifμ>μ*. Furthermore, (∗)μpossesses a unique solution whenμ=μ*, and at least two solutions whenμ∈(0, μ*) and 2