| 关于奇异半线性椭圆型方程组的正整体解的存在性 |
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| 引用本文： | 徐建荣.关于奇异半线性椭圆型方程组的正整体解的存在性[J].福建农林大学学报(自然科学版),2007,36(6). |
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| 作者姓名： | 徐建荣 |
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| 基金项目： | 福建农林大学青年教师科研基金 |
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| 摘 要： | 运用Schauder-Tychonoff不动点定理和位势理论研究一类奇异半线性椭圆型方程组的正整体解,给出该类方程组具有无穷多个正整体解的若干充分条件以及整体解在无穷远处的渐近性质,并将相关研究加以推广和加深.
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| 关 键 词： | 正整体解 椭圆型方程 不动点定理 |
Existence of positive entire solutions of singular semilinear elliptic systems |
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| XU Jian-rong.Existence of positive entire solutions of singular semilinear elliptic systems[J].Journal of Fujian Agricultural and Forestry University,2007,36(6). |
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| Authors: | XU Jian-rong |
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| Abstract: | The positive entire solutions of a class of singular semilinear elliptic systems were established by using the Schauder-Tychonoff fixed point theorem and potential theory,some sufficient conditions for these systems to have infinite positive entire solutions with the prescribed asymptotic behaviors at infinity were given.Some relative results of the theorem were further obtained. |
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| Keywords: | positive entire solution elliptic equation fixed point theorem |
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