| H1(RN)上一类半线性椭圆问题的正解与负解 |
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| 引用本文： | 刘竞坤.H1(RN)上一类半线性椭圆问题的正解与负解[J].集美大学学报(自然科学版),2016,0(3):228-233. |
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| 作者姓名： | 刘竞坤 |
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| 作者单位： | (集美大学诚毅学院,福建 厦门 361021) |
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| 摘 要： | 考虑一类半线性椭圆问题-Δu+a(x)u=f (x,u),x∈RN,u∈H1(RN),u(x)→0,x→+∞.用拓扑度理论证明在a(x)与f(x,u)关于x是周期的情况下,该方程存在一个正解与一个负解。
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| 关 键 词： | 半线性椭圆问题 拓扑度理论 正解与负解 (PS)c序列 容许同伦 |
Positive Solution and Negative Solution for a Class of Semilinear Elliptic Problem in H1(RN) |
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| LIU Jing-kun.Positive Solution and Negative Solution for a Class of Semilinear Elliptic Problem in H1(RN)[J].the Editorial Board of Jimei University(Natural Science),2016,0(3):228-233. |
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| Authors: | LIU Jing-kun |
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| Institution: | (Chengyi College,Jimei University,Xiamen 361021,China) |
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| Abstract: | Considering the semilinear elliptic problem -Δu+a(x)u=f (x,u),x∈RN,u∈H1(RN),u(x)→0,x→+∞. It is shown that if a(x) and f(x,u) are periodic in the x-variables, then a positive solution and a negative solution of this equation by topology degree theory are obtained. |
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| Keywords: | semilinear elliptic problem topology degree theory positive solution and negative solution (PS)c-sequence admissible homotopy |
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