| 环形域上半线性椭圆型方程径向正解的多解性 |
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| 引用本文： | 王宗信 朱江. 环形域上半线性椭圆型方程径向正解的多解性[J]. 兰州大学学报(自然科学版), 1997, 33(1): 6-9 |
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| 作者姓名： | 王宗信 朱江 |
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| 作者单位： | Department of Mathematics，Lanzhou University，Lanzhou730000 |
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| 基金项目： | 国家自然科学基金,国家教委博士点基金 |
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| 摘 要： | 运用变分方法对一类半线性椭圆方程径向正解的多解性问题进行研究，当非线性项满足在无穷处次线性增长，在原点超线性增长的条件下，得到了该类方程存在两个不同的非平凡径向正解。
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| 关 键 词： | 椭圆型方程 径向正解 多解性 半线性 |
On the Multiexistence of Positive Radial Solutions for Semilinear Elliptic Equation in the Annulus |
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| Wang Zongxing Zhu Jiang Zhong Chengkui. On the Multiexistence of Positive Radial Solutions for Semilinear Elliptic Equation in the Annulus[J]. Journal of Lanzhou University(Natural Science), 1997, 33(1): 6-9 |
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| Authors: | Wang Zongxing Zhu Jiang Zhong Chengkui |
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| Abstract: | By means of variational method, the multiexistence of positive radial solutions for a class of semilinear elliptic equations is studied. Under the assumption that the nonlinear term satisfy the superlinear growth condition at infinity and the sublunar growth condition at origin, the author has obtained two distinct positive radial solution for these equations. |
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| Keywords: | elliptic equations equation solutions existence |
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