| 关于奇异的非线性双调和方程正整解 |
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| 引用本文： | 叶常青. 关于奇异的非线性双调和方程正整解[J]. 漳州师院学报, 2012, 0(1): 15-21 |
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| 作者姓名： | 叶常青 |
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| 作者单位： | 漳州师范学院数学与信息科学系,福建漳州363000 |
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| 摘 要： | 本文研究了一类Rn（n≥3）上带奇异性的非线性双调和方程Δ2u=f（｜x｜,u,｜▽u｜） u-β,（β〉0,x∈Rn,n≥3）,给出了该类方程有正的整体解的充分必要条件,以及解的性质.
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| 关 键 词： | 奇异方程 Lebesgue控制收敛定理 等度连续 非线性双调和方程 |
Positive Entire Solutions to Singular Nonlinear Biharmonic Equations |
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| YE Chang-qing. Positive Entire Solutions to Singular Nonlinear Biharmonic Equations[J]. Journal of ZhangZhou Teachers College(Philosophy & Social Sciences), 2012, 0(1): 15-21 |
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| Authors: | YE Chang-qing |
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| Affiliation: | YE Chang-qing (Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, Fnjian 363000, China) |
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| Abstract: | Abstract： In this paper, the writer studies a class of singular nonlinear biharmonic equation Δ2u=f（｜x｜,u,｜▽u｜） u-β,（β〉0,x∈Rn,n≥3）,and some conditions are presented, under which the equations have positive entire solutions for the class, together with the properties of the solutions. |
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| Keywords: | singular equation Lebesgue domination covergence theorem equlcontinulty nonlinear bihar-monic equations |
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