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渐近线性椭圆方程组的非负解(英文)
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]中南民族大学计算机科学学院, [2]江西师范大学数学系
  • 相关基金：Supported by the Natural Science Foundation of SCUEC(yzz08001);; the National Natural Science Foundation of China(10571175,10631030)
作者： 彭超权[1], 杨健夫[2]
关键词： 非负解, 渐近线性, 椭圆方程组, Nonnegative solution, Asymptotically linear, Elliptic system
中文摘要：

本文讨论了如下一类渐近线性椭圆方程组{-Δu-μΔv=g(x,v),-Δv-λΔu=f(x,u),x∈Ω,u=v=0,x∈Ω在H01(Ω)×H01(Ω)中至少存在一个非负非平凡的解对(u,v),其中Ω是RN中的一个光滑有界区域,f(x,t)和g(x,t)是Ω×R上的连续函数并且在无穷远处渐近线性.

英文摘要：

In this paper,we show that the semilinear elliptic systems of the form{-Δu-μΔv=g(x,v),-Δv-λΔu=f(x,u),x∈Ω,u=v=0,x∈Ωpossess at least one nonnegative nontrivial solution pair(u,v)∈H10(Ω)×H10(Ω),where Ω is a smooth bounded domain in RN,f(x,t)and g(x,t)are continuous functions on Ω×R and asymptotically linear at infinity.

同期刊论文项目
非线性椭圆与抛物型方程的理论及其应用的研究
期刊论文 104 获奖 4
强不定非线性椭圆问题与时滞非线性反应扩散方程研究
期刊论文 43 著作 1
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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
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  • 被引量:4139