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具有渐近线性的非线性项的奇异半线性椭圆方程的正解

Positive Solutions for Singular Semilinear Elliptic Eqautions with Asymptotically Linear Nonlinearity
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摘要 用临界点理论中的山路引理得到具有Hardy项和原点及无穷原点都是渐近线性的半线性椭圆方程正解的存在性结果. Some existence results of positive solutions are obtained for solutions of semilinear elliptic equations with hardy terms and the general asymptotically linear non- linearity which is asymptotically linear at zero and at infinity by using the Mountain Pass Theorem in critical point theory.
作者 丁凌
机构地区 湖北文理学院数学与计算机科学学院
出处 《湖北文理学院学报》 2013年第2期5-8,13,共5页 Journal of Hubei University of Arts and Science
基金 国家自然科学基金青年基金(11101347) 湖北省教育厅科学技术研究计划重点项目(D20112605 D20122501)
关键词 Hardy项 渐近线性 正解 山路引理 Hardy terms Asymptotically linear Positive solutions Mountain Pass Theorem
分类号 O175.23 [理学—基础数学]
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参考文献11

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  • 8STUART C A, ZHOU lq S. Applying the mountain pass theorem to an asymptotically linear elliptic equation on RN [J]. Comm. Partial Differential Equations, 1999, 24 (9-10): 1731-1758.
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湖北文理学院学报
2013年 第2期

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