| 具Keller-Osserman条件的拟线性椭圆系统的全局爆破解的存在性 |
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| 引用本文： | 牛新宇,靳曼莉. 具Keller-Osserman条件的拟线性椭圆系统的全局爆破解的存在性[J]. 东北电力学院学报, 2013, 0(5): 89-98 |
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| 作者姓名： | 牛新宇 靳曼莉 |
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| 作者单位： | [1]吉林医药学院数学教研室,吉林吉林132013 [2]北华大学数学学院,吉林吉林132013 |
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| 摘 要： | 假设 f,g 满足 Keller-Osserman 条件,我们证明半线性椭圆系统的全局爆破解的存在性：div x -ap u p-2？u = m（ x） f（ u,v）,div x -ap v p-2？v = n（ x） g（ u,v）,其中x∈RN ,N≥2＋ p（a ＋1）2,非线性f和g为正的连续函数,权函数m和n是连续函数。
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| 关 键 词： | 全局爆破解 Keller—Osserman条件 上下解 拟线性椭圆系统 |
Existence of Entire Large Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition |
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| NIU Xin-yu,JIN Man-li. Existence of Entire Large Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition[J]. Journal of Northeast China Institute of Electric Power Engineering, 2013, 0(5): 89-98 |
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| Authors: | NIU Xin-yu JIN Man-li |
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| Affiliation: | 1. Department of Mathematics, Jilin Medical College, Jilin Jilin 132013; 2. College of Mathematics, Beihua University, Jilin Jilin 132013 ) |
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| Abstract: | Under the Keller-Osserman condition on f, g, we show the existence of entire large solutions for semilinear elliptic system supposing that nonlinearities and are positive and con-tinuous, the weights and are continuous functions. |
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| Keywords: | Entire large solutions The Keller-Osserman condition Upper and lower solution Quasilinear elliptic system |
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