| 类渐近线性p&q-Laplace方程弱解的全局衰减性 |
| |
| 引用本文： | 何成军,李工宝.类渐近线性p&q-Laplace方程弱解的全局衰减性[J].数学物理学报(A辑),2009,29(2):217-222. |
| |
| 作者姓名： | 何成军 李工宝 |
| |
| 作者单位： | (1.中国科学院武汉物理与数学研究所 武汉 |430071; 2.华中师范大学数学与统计学院 武汉 430072) |
| |
| 基金项目： | 国家自然科学基金(10571069, 10631030)资助 |
| |
| 摘 要： | 该文研究椭圆型方程
{Δpu+m|u|p-2u-Δqu+n|u|q-2u=g(x, u), x∈RN,
u∈ W1, p(RN)∩W1, q(RN)
弱解在全空间RN上的衰减性, 其中m, n ≥ 0, N≥3, 1 < q < p < N, g(x, u)关于u满足类渐近线性. 证明了该方程的
弱解在无穷远处关于|x|呈指数衰减性.
|
| 关 键 词： | p& q-Laplace 椭圆型方程 解的衰减性 |
| 收稿时间： | 2007-06-15 |
| 修稿时间： | 2008-12-30 |
The Decay of Weak Solution of Pseudo-asymptotic Linear p&q-Laplacian Equation on RN |
| |
| He Chengjun,Li Gongbao.The Decay of Weak Solution of Pseudo-asymptotic Linear p&q-Laplacian Equation on RN[J].Acta Mathematica Scientia,2009,29(2):217-222. |
| |
| Authors: | He Chengjun Li Gongbao |
| |
| Institution: | (1.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;
2. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079) |
| |
| Abstract: | In this paper, the authors study the following equation
{ Δpu+m|u|p-2u-Δqu+n|u|q-2u=g(x, u), x ∈ RN,
u ∈ W1, p(RN) ∩ W1, q(RN)
where m, n>0, N\ ≥ 3, 1 < q < p < N and g(x, u) satisfies some kind of asymptotic about u at infinity.
They prove that the solution of this equation decays exponentially aoubt |x| at infinity. |
| |
| Keywords: | p& q-Laplacezz Elliptic equationzz Decay zz |
|
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
| 点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
|
