| 一类带有变号权函数的椭圆方程组解的存在性 |
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| 引用本文： | 潘晓丽,母丽华,陈辉. 一类带有变号权函数的椭圆方程组解的存在性[J]. 黑龙江科技学院学报, 2013, 0(5): 502-504 |
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| 作者姓名： | 潘晓丽 母丽华 陈辉 |
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| 作者单位： | 黑龙江科技大学理学院,哈尔滨150022 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目（12531576） |
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| 摘 要： | 为合理而精确地解释一类非线性椭圆方程问题的具体物理过程,在有界区域上讨论了具有零Dirichlet边界条件的拟线性椭圆方程组解的存在性问题.当方程组的权函数满足一定条件时,应用上下解的方法证明该方程组存在弱解,并得出了这一类边值问题解的存在性的判断方法,具有广泛的实际应用前景.
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| 关 键 词： | 拟线性椭圆系统 上下解 变号权函数 特征值 |
Existence of weak solution for class of elliptic systems with sign-changing weight |
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| PAN Xiaoli,MU Lihua,CHEN Hui. Existence of weak solution for class of elliptic systems with sign-changing weight[J]. Journal of Heilongjiang Institute of Science and Technology, 2013, 0(5): 502-504 |
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| Authors: | PAN Xiaoli MU Lihua CHEN Hui |
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| Affiliation: | 1.College of Sciences, Heilongjiang University of Science ＆ Technology, Harbin 150022, China;) |
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| Abstract: | Aimed at giving a reasonable and precise explanation for a specific physical process for a class of nonlinear elliptic equations,this paper discusses the existence of positive weak solution for the quasilinear elliptic system with zero Dirichlet boundary condition in bounded domain.The paper proves the existence of positive weak solution via sub-super-solutions when the weight functions satisfy certain additional conditions and gives the judging method for the existence of solution of this kind of boundary value problems.The study promises a stronger practical application. |
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| Keywords: | quasilinear elliptic systems sub-super-solutions sign-changing weight function eigenvalue |
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