| 一类m-Laplaciang方程爆破整体解的存在性和不存在性 |
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| 引用本文： | 辛奎东,陈才生.一类m-Laplaciang方程爆破整体解的存在性和不存在性[J].南京大学学报(自然科学版),2012(1):75-83. |
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| 作者姓名： | 辛奎东 陈才生 |
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| 作者单位： | [1]广东轻工职业技术学院经济系,广州510300 [2]河海大学理学院,南京210098 |
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| 摘 要： | 本文研究了RN中的m—Laplacian方程△mu=ρ（x）f（u），x∈RN的非负爆破整体解的存在性和不存在性．利用上下解方法得到了解的存在性，在这里并没有对函数．厂附加单调性的假设；利用积分方程和一个积分条件得到了径向对称解的不存在性．
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| 关 键 词： | 非爆破整体解 上下解方法 |
EXISTENCE AND NON-EXISTENCE OF BLOW-UP ENTIRE SOLUTIONS OF A CLASS OF M-LAPLACIAN EQUATIONS |
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| Xin Kuidong.EXISTENCE AND NON-EXISTENCE OF BLOW-UP ENTIRE SOLUTIONS OF A CLASS OF M-LAPLACIAN EQUATIONS[J].Journal of Nanjing University: Nat Sci Ed,2012(1):75-83. |
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| Authors: | Xin Kuidong |
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| Institution: | Xin Kuidong (Department of Economy, Guangdong Industry College, 510300, Guangzhou PRC) Chen Caisheng (College of Science, Hohai University, 210098, Nanjing PRC) |
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| Abstract: | In this paper, we study existence and non-existence of nonnegative blow-up entire solutions of a class of m-laplacian equations △mu=ρ（x）f（u）,x∈RN.The method of getting existence is based on lower and upper solutions techniques without assuming that f is monotonic and by estimates on an associated integral equation and integral condition,we get nonexistence of radial symmetry solutions. |
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| Keywords: | Blow-up entire solutions Lower and upper solutions method |
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