| 临界情形下拟线性椭圆方程Nemann问题正解的多重性(英文) |
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| 引用本文： | 赵俊华,汪全珍,李健平. 临界情形下拟线性椭圆方程Nemann问题正解的多重性(英文)[J]. 应用数学, 2012, 25(2): 447-453 |
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| 作者姓名： | 赵俊华 汪全珍 李健平 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | The NNSF of China，The NSF of Anhui Province，The 211 Project of Anhui University |
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| 摘 要： | 本文讨论某个非线性椭圆方程的Neumann问题在临界情形下正解的多重性.通过Nehari流形的分解,我们证明该方程至少有两个不同的正解.
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| 关 键 词： | Nehari流形 正解 临界指数 Neumann问题 |
Multiplicity of Positive Solutions of Quasilinear Elliptic Equations Involving the Critical Situation for the Neumann Problem |
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| ZHAO Junhua , WANG Quanzhen , LI Jianping. Multiplicity of Positive Solutions of Quasilinear Elliptic Equations Involving the Critical Situation for the Neumann Problem[J]. Mathematica Applicata, 2012, 25(2): 447-453 |
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| Authors: | ZHAO Junhua WANG Quanzhen LI Jianping |
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| Affiliation: | (School of Mathematical Science,Anhui University,Hefei 230039,China) |
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| Abstract: | In this paper,we study the multiplicity of positive solutions for some nonlinear elliptic equation.Using the decomposition of the Nehari manifold,we prove that the equation has at least two positive solutions. |
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| Keywords: | Nehari manifold positive solution Critical exponent Neumann problem |
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