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一类半线性椭圆型方程正整体解的存在性
EXISTENCE OF POSITIVE GLOBAL SOLUTION FOR A SEMILINEAR ELLIPTIC EQUATION
【摘要】 本文研究了一个半线性椭圆型方程正整体解的存在性问题.利用上下解方法克服了非齐次项出现带来的困难,获得了正整体解存在的必要条件,具体地给出了在此条件下正整体解所处的领域.
【Abstract】 In this paper we study the existence of positive global solutions for a semilinear elliptic equation. We use the methods of super-solution and sub-solution to overcome the difficulty of an inhomogeneous term, thus we obtaine the necessary condition which positive global solutions for a semilinear eliptic equation possibly exist, and given the neighborhood which positive global solutions for a semilinear elliptic equation lie in.
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2006年02期
- 【分类号】O175.25
- 【被引频次】1
- 【下载频次】115