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一类半线性双调和方程正整解的存在性及其性质

The Existence and Properties of Positive Entire Solutions for a Class Semilinear Biharmonic Equations
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摘要 本文建立了平面上一类半线性双调和方程正整解的存在性定理 ,并给出了解的有关性质 ,丰富和发展了文 [1 This paper aims at establishing the theorems of the existence of positive entire solutions for a class of semilinear biharmonic equations on R 2, presents some the properties of solutions. It enriches and develops the results of paper .
作者 许兴业
出处 《工科数学》 2001年第6期6-10,共5页 Journal of Mathematics For Technology
基金 广东教育学院中青年科研骨干基金资助项目
关键词 半线性双调和方程 正整解 控制收敛定理 闭凸子集 相对紧 积分算子 非线性椭圆型方程 semilinear biharmonic equations positive entire solution dominated convergence theorem close convex subset relative compact
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参考文献9

  • 1Kusano T and Swanson C A. Positive Entire Solutions of Semilinear Biharmonic Equations[J]. Hiroshima Math. J. ,1987,17:13-28.
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  • 7许兴业.关于奇异的非线性椭圆型方程正的整体解的存在性[J].数学杂志,1995,15(4):421-428. 被引量:14
  • 8Adams R A. Sobolev Spaces[J]. New York San Francisco London, 1975.
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