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关于一个半线性双调和问题 被引量:1

On a Semilinear Biharmonic Equation
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摘要 研究了一个半线性双调和问题 .当u∈H2 (RN)时 ,通过应用山路引理和特征函数的性质 ,证明了在线性的情况下 ,方程至少有一个正解 . A semilinear biharmonic equation is studied. It is proved that in the space H 2(R N), there exists at least one positive solution in the case of lineary, by using the Mountain Pass Theorem and the property of eigenfunction.
出处 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 2003年第9期50-52,81,共4页 Journal of South China University of Technology(Natural Science Edition)
基金 国家自然科学基金资助项目 (10 1710 32 ) 广东省自然科学基金资助项目 (0 116 0 6 )
关键词 半线性双调和问题 山路几何 特征函数 正解 biharmonic problem Mountain Pass geometry eigenfunction
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参考文献8

  • 1熊辉,沈尧天,姚仰新.一类双调和Dirichlet问题的非平凡解[J].华南理工大学学报(自然科学版),2003,31(4):78-81. 被引量:1
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二级参考文献2

  • 1Gi1barg D Trudinger N S 叶其孝 等译.二阶椭圆型偏微分方程[M].上海:上海科技出版社,1981..
  • 2GilbargD TrundigerNS.二阶椭圆型偏微分方程[M].上海科学技术出版社,1981..

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