含非齐次项椭圆方程组的边界爆破解  

Boundary blow-up solutions for elliptic systems with nonhomogeneous term

作　　者：王志敏 马飞遥[1] WANG Zhimin;MA Feiyao(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院

出　　处：《宁波大学学报（理工版）》2020年第1期69-71,共3页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(11471174);浙江省自然科学基金(LY20A010010,LY20A010011)

摘　　要：利用上下解方法和比较原理研究了含非齐次项椭圆方程组边界爆破解的存在性问题.首先证得包含非齐次项的加奇性权单个椭圆方程边界爆破解的存在性,进一步得到方程组在边界爆破条件下解的存在性.Using the method of sub and super solutions and the comparison principle,we study the boundary blow-up problem for an elliptic system with non-homogeneous terms.Firstly,the existence of boundary blow-up solutions for a single equation with singular weights and nonhomogeneous term is derived.Further on,the existence of solutions for the system under the condition of boundary blow-up is proven.

关 键 词：椭圆方程组 边界爆破解 存在性 非齐次项 

分 类 号：O175.25[理学—数学]