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具有临界增长的半线性椭圆型方程的多解问题
  • 期刊名称：数学物理学报 A0
  • 时间：2014.5.5
  • 页码：0-0
  • 分类：O175.231[理学—数学;理学—基础数学] O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]华中师范大学数学与统计学学院,武汉430079, [2]华中师范大学学报(理科)编辑部,武汉430079
  • 相关基金：国家自然科学基金（11071095,11371159）和数学物理湖北省重点实验室（华中师范大学）资助
  • 相关项目：非线性椭圆型偏微分方程的非平凡解和多重解的研究
作者： 张正杰|郭留涛|朱小琨|
关键词： 半线性, 临界增长, 椭圆型, 多解, Semilinear, Sobolev exponent, Elliptic, Multiple solutions
中文摘要：

考虑如下问题{-△u=uN＋2/N-2＋εf（x）u,x∈（R）N,u∈D1,2（（R）N）,u（x）→0,｜x｜→∞,这里ε是正常数,f（x）∈L∞（RN）,N为大于3的正整数.该文应用扰动方法证明了在f（x）适合一定条件下,存在ε0,只要0＜ε＜ε0,上述问题存在多个解.

英文摘要：

In this paper, we consider the following problem {-△u=uN＋2/N-2＋εf（x）u,x∈（R）N,u∈D1,2（（R）N）,u（x）→0,｜x｜→∞, where ∈ is a positive constant,f（x）∈L∞（RN）,Used perturbation method, we provethat under some conditions on f（x）, there exists a ε0 0〈ε〈ε0,such that there are manysolutions for above problem.

同期刊论文项目
几类变分形式的非线性椭圆型方程的解的存在性与解的性质研究
期刊论文 4
非线性椭圆型偏微分方程的非平凡解和多重解的研究
期刊论文 22
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