| 一类环形区域上的椭圆问题 |
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| 引用本文： | 孙鑫.一类环形区域上的椭圆问题[J].太原师范学院学报(自然科学版),2012(4):114-116. |
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| 作者姓名： | 孙鑫 |
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| 作者单位： | 山西大学数学科学学院 |
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| 摘 要： | 文章讨论一类环形区域上的Laplace边值问题-△u=f（u），x∈B1＼Bt；u=0，x∈B1；u/n=0,x∈Bt利用Leggett—Williams三解定理获得至少三个非负径向解的存在性．
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| 关 键 词： | Laplace方程 环形区域 Leggett—Williams三解定理 边值问题 |
A Class of Elliptic Problems in Annular Domains |
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| Sun Xin.A Class of Elliptic Problems in Annular Domains[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(4):114-116. |
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| Authors: | Sun Xin |
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| Institution: | Sun Xin(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | We deal with a class of Laplacian boundary problems-△u = f（u）,x∈ B1 ／Bt ;u =0,x∈B;u/n=0,x∈ Bt in annular domains. By means of the Leggett-Williams three solu On tions theorem we obtain the existence of at least three non-negative radial solutions. |
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| Keywords: | Laplaeian equations annular domains Leggett-Williams three solutions theorem boundary value problem |
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