一类半线性椭圆系统正的非径向整体有界解的存在性
On the existence of positive entire non-radial bounded solutions for a class of semilinear elliptic systems
本文应用单调迭代方法、上下解方法，结合Arzela-Ascoli 定理，在变系数和非线性项满足适当的条件下，得到了一类半线性椭圆型系统正的整体非径向有界解的存在性.我们的结果去掉了已有文献中关于非线性项在无穷远处的积分条件.
By using the monotony iteration method, super-sub solutions method, combining with Arzela-Ascoli theorem, in the paper we show the existence of entire positive non-radial bounded solutions for the semilinear elliptic system under the simple conditions on weights and nonlinear terms. We omit the integral conditions near infinity on the nonlinear functions.
张志军、廉婷婷
数学
半线性椭圆型系统正的整体非径向有界解存在性
semilinear epplitic systempositive entire non-radial bounded solutionsexistence
张志军,廉婷婷.一类半线性椭圆系统正的非径向整体有界解的存在性[EB/OL].(2013-04-17)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201304-367.点此复制
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