| 一类奇异半线性椭圆方程解的渐近行为 |
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| 引用本文： | 周文书. 一类奇异半线性椭圆方程解的渐近行为[J]. 大连民族学院学报, 2012, 14(5): 466-468 |
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| 作者姓名： | 周文书 |
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| 作者单位： | 大连民族学院理学院 |
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| 基金项目： | 国家自然科学基金项目(10901030);中央高校基本科研业务费专项资金资助项目(DC110109) |
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| 摘 要： | 利用紧致技巧、比较原理、Fatou引理以及Poincare不等式，研究了低阶项关于梯度有自然增长条件的一类奇异半线性椭圆方程边值问题解的渐近行为，阐明了此方程与相应的不含梯度项的线性椭圆方程之间的关系.
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| 关 键 词： | 奇异椭圆方程 正解 渐近行为 singular elliptic equation positive solution asymptotic behaviour |
Asymptotic Behaviour of Solutions for a Singular Semilinear Elliptic Equation |
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| ZHOU Wen-shu. Asymptotic Behaviour of Solutions for a Singular Semilinear Elliptic Equation[J]. Journal of Dalian Nationalities University, 2012, 14(5): 466-468 |
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| Authors: | ZHOU Wen-shu |
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| Affiliation: | ZHOU Wen-shu(College of Science,Dalian Nationalities University,Dalian Liaoning 116605,China) |
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| Abstract: | By means of compactness techniques,comparison theorem,Fatou’s lemma and Poincare’s inequality,we study the asymptotic behaviour of solutions of boundary value problem for a singular semilinear elliptic equation with natural growth in the gradient,which appears in the study for a class of degenerate parabolic equations,and clarify the relations between this equation and the corresponding linear equation without gradient terms. |
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| Keywords: | singular elliptic equation positive solution asymptotic behaviour |
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