| 有界洞形区域上一类半线性椭圆型方程的可解性 |
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| 引用本文： | 钟金标,陈祖墀. 有界洞形区域上一类半线性椭圆型方程的可解性[J]. 中国科学技术大学学报, 2002, 32(6): 637-642 |
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| 作者姓名： | 钟金标 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 基金项目： | NNSFofChina (10 0 710 80 )，partiallybyNSFA (99JL 0 14 2 ) |
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| 摘 要： | 论文在有界洞形区域上讨论半线性Laplace方程正解的存在性、唯一性和非存在性 ,并给出了相应的例子 .用以论证的主要工具是Schauder不动点定理和上下解方法 .
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| 关 键 词： | 上下解 紧连续算子 Schauder不动点定理 |
Solvability for Certain Semilinear Elliptic Equations in the Bounded Domain With a Hole |
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| Abstract. Solvability for Certain Semilinear Elliptic Equations in the Bounded Domain With a Hole[J]. Journal of University of Science and Technology of China, 2002, 32(6): 637-642 |
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| Authors: | Abstract |
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| Abstract: | In this paper, the existence, uniquness and nonexistence of the positive solutions to a class of semilinear elliptic equations are proved. The main tools to prove our theorems are the sub supersolution method and the Schauder fixed point theorem. |
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| Keywords: | sub supersolutions compact and continuous operator Schauder theorem |
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