| 带不定线性部分椭圆方程的多解 |
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| 引用本文： | 陈建清,李永青.带不定线性部分椭圆方程的多解[J].应用泛函分析学报,2001,3(4):310-316. |
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| 作者姓名： | 陈建清 李永青 |
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| 作者单位： | 福建师范大学数学系,福建,福州,350007 |
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| 摘 要： | 给出增线性椭圆方程-△u=λV(x)u+f(x.u)在Ω上的一个非零解,其中Ω
RN(N≥3)可以无界.并允许Ω=RN.V(x)可以变号,并通过截断技巧得到上述问题的一个非负解和一个非正解.
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| 关 键 词： | 临界点理论 椭圆方程 不定线性部分多解 |
Multiple Solutions of
an Elliptic Equation with Indefinite Linear Part |
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| Abstract.Multiple Solutions of
an Elliptic Equation with Indefinite Linear Part[J].Acta Analysis Functionalis Applicata,2001,3(4):310-316. |
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| Authors: | Abstract |
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| Abstract: | In this paper,a nontrivial solution of the semilinear elliptic equation -△u=λV(x)u+f(x.u)in Ω is given.whereΩ RN(N≥3) may be unbounded.in particular.Ω=RN is permitted.V(x) may be sign-changing.Furthermore cut-off technique on f(x.u) is used to show that the above problem has a nonnegative and a nonpositive nontrivial solution. |
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| Keywords: | critical point theory elliptic equation indefinite linear part multiple solutions |
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