带梯度项的半线性椭圆型方程正径向整大解的存在性The Existence of Entire Large Positive Radial Solutions for Semilinear Elliptic Equation with Gradient Term
方钟波,茹海霞
摘要(Abstract)：
本文研究带梯度项的半线性椭圆型方程正径向整大解的存在性。先利用Banach不动点定理和反证法得出正径向解的局部及整体存在性,进而得到正径向整大解的存在性结论。结果发现,正径向整大解的存在性依赖于梯度项的系数符号和指数的范围。
关键词(KeyWords)： 半线性椭圆型方程;径向解;整大解
基金项目(Foundation): 国家留学回国人员科研启动基金项目(910937020)资助
作者(Author): 方钟波,茹海霞
DOI: 10.16441/j.cnki.hdxb.2012.06.022
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