| 一类双调和方程的多解性 |
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| 引用本文： | 赵枫,汪全珍.一类双调和方程的多解性[J].阜阳师范学院学报(自然科学版),2012,29(1):46-49. |
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| 作者姓名： | 赵枫 汪全珍 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601 |
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| 摘 要： | 考虑以下双调和方程问题的多解性,Δ2u=λf(u)-g(x),u∈H20(Ω),其中Ω是RN中有界光滑开区域,λ∈R是参变量,g(x)为扰动项。应用临界点定理,证明了此类双调和方程至少有三个非负弱解存在。
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| 关 键 词： | 双调和方程 扰动 多解性 |
Multiple solutions for a class of biharmonic equations |
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| ZHAO Feng,WANG Quan-zhen.Multiple solutions for a class of biharmonic equations[J].Journal of Fuyang Teachers College:Natural Science,2012,29(1):46-49. |
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| Authors: | ZHAO Feng WANG Quan-zhen |
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| Institution: | (School of Mathematical Science,Anhui University,Hefei Anhui 230601,China) |
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| Abstract: | In this paper consider the existence of multiple solutions for a class of biharmonic equations,Δ2u=λfu-gx,u∈H20Ω,where ΩRN is a bounded smooth domain,λ∈R is a parameter,gxis disturbance term.By using an Abstract critical point theorem,prove the existence of at least three Non-negative weak solutions to this kind of equations. |
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| Keywords: | biharmonic equation disturbance multiple solutions |
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