| 一类带奇异项非线性椭圆方程解的存在性 |
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| 引用本文： | 梁占平.一类带奇异项非线性椭圆方程解的存在性[J].山西大学学报(自然科学版),2011,34(3):392-396. |
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| 作者姓名： | 梁占平 |
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| 作者单位： | 山西大学数学科学学院,山西太原,030006 |
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| 基金项目： | 国家自然科学基金(11071149); 山西省自然科学基金(2010011001-1) |
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| 摘 要： | 利用山路定理证明了一类带奇异项的非线性项椭圆方程解的存在性.方程中的非线性项满足非Ambroset-ti-Rabinowitz条件的超线性条件.
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| 关 键 词： | 奇异项 椭圆方程 山路定理 |
Existence of Solutions to a Kind of Elliptic Equation with Singular Term |
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| LIANG Zhan-ping.Existence of Solutions to a Kind of Elliptic Equation with Singular Term[J].Journal of Shanxi University (Natural Science Edition),2011,34(3):392-396. |
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| Authors: | LIANG Zhan-ping |
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| Institution: | LIANG Zhan-ping(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | By using Mountain Pass theorem,the existence of solutions is studied to a kind of elliptic equation with singular term.In the equation,the nonlinearity satisfies the superlinear condition which is different from Ambrosetti-Rabinowitz condition. |
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| Keywords: | singular term elliptic equation Mountain Pass theorem |
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