| p-Laplacian方程组大解的存在性 |
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| 引用本文： | 印凡成,王滕滕,黄健元. p-Laplacian方程组大解的存在性[J]. 中山大学学报(自然科学版), 2012, 51(4): 45-49 |
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| 作者姓名： | 印凡成 王滕滕 黄健元 |
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| 作者单位： | 1. 河海大学理学院,江苏南京,210098
2. 河海大学公共管理学院,江苏南京,210098 |
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| 基金项目： | 中央高校基本科研业务费重点资助项目 |
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| 摘 要： | 为了研究强耦合项的非线性椭圆型p-Laplacian方程组大解的存在性问题，文章运用上下解方法，主要讨论R N上一类椭圆型方程组大解的存在性及需要满足的条件。关键在于通过一组不等式的可解性，寻求可解的条件，从而得到方程组大解存在需要满足的条件,即(a-p+1)(e-q+1)
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| 关 键 词： | 非线性椭圆型p-Laplacian方程组 比较原理 上下解 大解 |
| 收稿时间： | 2011-09-24; |
Existence of Large Solutions of the Quasilinear Elliptic p-Laplacian System |
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| YIN Fancheng , WANG Tengteng , HUANG Jianyuan. Existence of Large Solutions of the Quasilinear Elliptic p-Laplacian System[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2012, 51(4): 45-49 |
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| Authors: | YIN Fancheng WANG Tengteng HUANG Jianyuan |
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| Affiliation: | 1.School of Science,Hohai university,Nanjing 210098,China; 2.School of Public Administration,Hohai university,Nanjing 210098,China) |
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| Abstract: | The sub-super solution method is used to research the existence of large solutions of the quasilinear elliptic p-Laplacian system which is exponential.The existence and sufficient conditions of large solutions of the quasilinear elliptic p-Laplacian system are discussed.The key point is to establish a set of inequalities which have solutions to get the sufficient conditions.The sufficient condition of the quasilinear elliptic p-Laplacian system is obtanined,which is(a-p+1)(e-q+1)
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| Keywords: | quasilinear elliptic p-Laplacian system weak comparison principle sub-super solutions large solutions |
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