摘要
研究了含梯度项的椭圆方程组的边界爆破解的性质,其中权函数a(x),b(x)为正并且满足一定的条件.利用上下解的方法及比较原则证明了正解的存在性与唯一性,并得到了边界爆破速率的估计.
The properties of boundary blow-up solutions for an elliptic system with a gradient term are studied,where the weight functions a（x）, b（x） are positive and satisfy certain conditions. By the methodof subandsuper-solutions and comparison principle, the existence and uniqueness of positive solutions are proved andthe estimates of boundary blow-up rate are obtained.
出处
《纯粹数学与应用数学》
2016年第4期387-398,共12页
Pure and Applied Mathematics
基金
国家自然科学基金(11201250)
关键词
椭圆方程组
梯度项
边界爆破
elliptic systems, gradient term, boundary blow-up
