Stability for entire radial solutions to the equation with negative exponents
Stability for entire radial solutions to the equation with negative exponents
复制标题
负指数方程整个径向解的稳定性
DOI：
10.1016/j.crma.2018.05.001
复制
发表时间：
2018
影响因子：
0.8
通讯作者：
Zhou Feng
中科院分区：
文献类型：
--
作者：
Huang Xia;Ye Dong;Zhou Feng
近年来，四阶方程引起了许多研究者的兴趣。特别地，方程（1.1）解的存在性、多重性、稳定性和定性性质在许多著作中被研究，特别是对于径向解。文[6]证明了：当0< p≤ 1时，方程（1.1）不存在整体光滑解。文[4，7]证明了对任意p> 1，（1.1）存在径向解。
Recently, the fourth-order equations have attracted the interest of many researchers. In particular, the existence, multiplicity, stability, and qualitative properties of solutions to equation (1.1) are studied in many works, especially for radial solutions. It has been proved in [6] that, if 0< p≤ 1, the equation (1.1) admits no entire smooth solution. It is showed in [4, 7] that, for any p> 1, there exist radial solutions to (1.1).