| 一类半线性椭圆型方程正解的存在性 |
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| 引用本文： | 吴淑君,;王际科. 一类半线性椭圆型方程正解的存在性[J]. 烟台师范学院学报(自然科学版), 2008, 0(4) |
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| 作者姓名： | 吴淑君, 王际科 |
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| 作者单位： | [1]中国石油大学（华东）数学与计算科学学院; [2]鲁东大学学报编辑部 |
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| 摘 要： | 在适当条件下,运用不动点定理结合上、下解的方法证明了一类半线性椭圆型方程全局正解的存在性,并在无穷远处趋于任意预先给定的正数.
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| 关 键 词： | 半线性椭圆型方程 上、下解方法 Schuauder-Tychonoff不动点定理 |
Existence of Positive Solutions to a Kind of Semilinear Elliptic Equations |
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| Affiliation: | WU Shu-jun1; WANG Ji-ke2 (1.School of Mathematics and Computational Science; China University of Petroleum; Dongying 257061; China; 2.Editorial Department; Ludong University; Yantai 264025; China); |
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| Abstract: | Some suitable conditions are given,for any positive constant given in advance,by the aid of fix-point theorem and super-sub solution method,guaranteeing the existence of an entire positive solution a semilinear elliptic equation that tends to the given constant at infinity. |
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| Keywords: | semilinear elliptic equation super-sub solution method Schuauder-Tychonoff fixed-point theorem |
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