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一类奇异的半线性双调和方程的正整解 被引量:3

The Positive Entire Solutions of a Class of Singular Semilinear Biharmonic Equations
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摘要 该文建立了一类奇异的半线性双调和方程正的径向对称整体解的存在性 ,并给出了解的有关性质 ,推广了文献 In the paper, the author's aims are to establish the theorems of existence of positive radial symmetric entire solutions for a class of singular semilinear biharmonic equations, to present the properties of the solutions, and to extend the result of paper .
作者 叶常青
出处 《数学物理学报(A辑)》 CSCD 北大核心 2003年第6期729-734,共6页 Acta Mathematica Scientia
基金 福建省教育厅资助项目 ( JA 0 2 2 4 7)
关键词 双调和方程 正整解 相对紧 不动点定理 连续映照 Biharmonic equation Positive entire solution Relative compactness Fixed point theomrem Continuous mapping
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  • 1Hui XIONG,Yao Tian SHEN.Nonlinear Biharmonic Equations with Critical Potential[J].Acta Mathematica Sinica,English Series,2005,21(6):1285-1294. 被引量:6
  • 2邓义华,彭白玉.一类高阶边值问题正解的存在唯一性[J].江西师范大学学报(自然科学版),2007,31(1):34-37. 被引量:2
  • 3James W Dold, Victor A Galaktionov, Andrew A Lacey, et al. Rate of approach to a singular steady state in quasilinear reaction-diffusion equations [J] .Ann Scuola Noem Sup CI Sci, 1998,26(4) :663-687.
  • 4Hardy G H,Littlewood J E,Polya G. Inequalities [M] .2nd ed. Cambridge:Cambridge Univ Press, 1952.
  • 5Pucci P,Serrin J. Critical exponents and critical dimensions for polyharmonic equations [J] .J Math Pure Appl, 1990,69:55-83.
  • 6Edmunds D E, Fortunato D, Jannelli E. Critical exponents, critical dimensions and the biharmonic operator [ J ]. Arch Rational Mech Anal, 1990,112:269-289.
  • 7Bernis F, Hans-Christoph G. Critical exponents and multiple critical dimensions for polyharmonic operators [ J]. J Differ Equations, 1995, 117:469-486.
  • 8Peru I, Vazquez J L. On the stability or instability of the singular solution of semilinear heat equation with exponential reaction term [ J]. Mech Anal, 1995,129:145-224.
  • 9钟五一,杨必成.一个新的Hilbert型积分不等式的含多参数的最佳推广[J].江西师范大学学报(自然科学版),2007,31(4):410-414. 被引量:12
  • 10Water W and Rhee H. Entire solutions of △^Pu = f(r, u). Proc. R. Soc., Edinburg, 1979, 82A: 189-192.

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