| 一类带梯度项椭圆方程解的存在性 |
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| 引用本文： | 刘广刚,韦玉程.一类带梯度项椭圆方程解的存在性[J].吉林大学学报(理学版),2012,50(5):842-846. |
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| 作者姓名： | 刘广刚 韦玉程 |
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| 作者单位： | 1. 吉林大学 数学学院, 长春 130012,2. 河池学院 数学系, 广西 河池 546300 |
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| 基金项目： | 吉林大学研究生创新基金(批准号:20111036) |
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| 摘 要： | 用山路定理和迭代方法讨论一类带梯度项椭圆方程Dirichlet问题非平凡解的存在性, 在右端非线性项渐近线性增长的情形下证明了该问题正解和负解的存在性.
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| 关 键 词： | 带梯度项椭圆方程 山路定理 迭代方法 |
| 收稿时间： | 2011-11-11 |
Existence of Nontrivial Solution of a Class of Elliptic Equation with Gradient Term |
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| LIU Guang-gang,WEI Yu-cheng.Existence of Nontrivial Solution of a Class of Elliptic Equation with Gradient Term[J].Journal of Jilin University: Sci Ed,2012,50(5):842-846. |
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| Authors: | LIU Guang-gang WEI Yu-cheng |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China|2. Department of Mathematics, Hechi University, Hechi 546300, Guangxi Zhuang Autonomous Region, China |
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| Abstract: | We considered the existence of nontrivial solution of Dirichlet problem for a class of elliptic equation with gradient term by applying mountain pass theorem and iterative method,and we obtain the existence of positive and negative solutions for this problem with asymptotically linear growth of rigthand side nonlinear term. |
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| Keywords: | elliptic equation with dependence on the gradient mountain pass theorem iterate methods |
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