| 一类拟线性椭圆方程的多重非负解 |
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| 引用本文： | 应惠芬.一类拟线性椭圆方程的多重非负解[J].武汉理工大学学报,2010(5). |
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| 作者姓名： | 应惠芬 |
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| 作者单位： | 杭州万向职业技术学院; |
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| 摘 要： | 研究一类拟线性椭圆方程的非负解的多重性。利用非线性项在无穷远处与零点处的渐近行为,应用Ekeland变分原理与山路引理得到2个非平凡的非负解。
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| 关 键 词： | 拟线性椭圆方程 非负解 多重性 Ekeland变分原理 山路引理 |
Multiplicity of Nonnegative Solutions for Some Quasilinear Elliptic Equations |
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| YING Hui-fen.Multiplicity of Nonnegative Solutions for Some Quasilinear Elliptic Equations[J].Journal of Wuhan University of Technology,2010(5). |
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| Authors: | YING Hui-fen |
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| Affiliation: | YING Hui-fen(Department of Bio-Technology,Hangzhou Wanxiang Polytechnic,Hangzhou 310023,China) |
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| Abstract: | This paper is concerned with the multiplicity of nonnegative solutions of some quasilinear elliptic equations.Using the asymptotic behavior of the nonlinear-ity at infinity and at zero,we obtained two nontrivial nonnegative solutions by the Ekeland variational principle and mountain pass theorem. |
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| Keywords: | quasilinear elliptic problems nonnegative solutions multiplicity Ekeland variational principle mountain pass theorem |
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