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类渐近线性p＆q—Laplace方程弱解的全局衰减性
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[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
  • 相关基金：基金项目：国家自然科学基金（10571069,10631030）资助
作者： 何成军[1], 李工宝[2]
关键词： p&q;—Laplace, 椭圆型方程, 解的衰减性, p＆q-Laplace, Elliptic equation, Decay.
中文摘要：

该文研究椭圆型方程{-△pu＋m｜u｜^p-2u-△qu＋n｜u｜^q-2 u=g（x,u）, x∈R^N, u∈W^1,p （R^N）∩W^-,q（R^N） 弱解在全空间R^N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．

英文摘要：

In this paper, the authors study the following equation {-△pu＋m｜u｜^p-2u-△qu＋n｜u｜^q-2 u=g（x,u）, x∈R^N, u∈W^1,p （R^N）∩W^-,q（R^N） 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.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382