The existence of bounded solutions of a semilinear heat equation
The existence of bounded solutions of a semilinear heat equation
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半线性热方程有界解的存在性
DOI：
10.1137/0518026
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发表时间：
1987
影响因子：
2
通讯作者：
W. Troy
中科院分区：
文献类型：
--
作者：
W. Troy
本文研究了$\Delta w - y\cdot {{\nabla w} / {2 -（{1 / {（p - 1））w +| W|当$N > 2$且$p > {{（N + 2）} / {（N - 2）}}$时，^{p - 1} w} = 0$，$y \在R^N $中。我们证明，如果$N = 3$和$6 \leqq p \leqq 12$，则存在无穷多个正的、有界的、径向对称的解$w（r）$，$r =| y| $\lim _{r \to \infty } w（r）= 0$。
We investigate the existence of bounded solutions of $\Delta w - y\cdot {{\nabla w} / {2 - ({1 / {(p - 1))w + | w |^{p - 1} w}}}} = 0$, $y \in R^N $, for $N > 2$ and $p > {{(N + 2)} / {(N - 2)}}$. We show that if $N = 3$ and $6 \leqq p \leqq 12$ then there are infinitely many positive, bounded, radially symmetric solutions $w(r)$, $r =| y |$, such that$\lim _{r \to \infty } w(r) = 0$.