| 含梯度项的椭圆方程组的边界爆破解 |
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| 引用本文： | 李华,马飞遥.含梯度项的椭圆方程组的边界爆破解[J].纯粹数学与应用数学,2016,32(4):387-398. |
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| 作者姓名： | 李华 马飞遥 |
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| 作者单位： | 宁波大学理学院,浙江 宁波,315211;宁波大学理学院,浙江 宁波,315211 |
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| 基金项目： | 国家自然科学基金(11201250) |
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| 摘 要： | 研究了含梯度项的椭圆方程组的边界爆破解的性质,其中权函数a(x),b(x)为正并且满足一定的条件.利用上下解的方法及比较原则证明了正解的存在性与唯一性,并得到了边界爆破速率的估计.
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| 关 键 词： | 椭圆方程组 梯度项 边界爆破 |
Boundary blow-up solutions for an elliptic system with a gradient term |
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| Li Hua,Ma Feiyao.Boundary blow-up solutions for an elliptic system with a gradient term[J].Pure and Applied Mathematics,2016,32(4):387-398. |
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| Authors: | Li Hua Ma Feiyao |
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| Abstract: | The properties of boundary blow-up solutions for an elliptic system with a gradient term are stud-ied,where the weight functions a(x), b(x) are positive and satisfy certain conditions. By the methodof sub-and super-solutions and comparison principle, the existence and uniqueness of positive solutions are proved and the estimates of boundary blow-up rate are obtained. |
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| Keywords: | elliptic systems gradient term boundary blow-up |
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