数学杂志2012，Vol.32Issue(2)：357-362,6.
一类含临界耦合非线性项的奇异椭圆方程组的正解
POSITIVE SOLUTION FOR A CLASS OF SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL COUPLING NONLINEAR TERMS
摘要
Abstract
In this paper, we study a class of singular elliptic systems involving critical exponents and coupling nonlinear terms. By using the variational methods and strong maximum principle and estimating the energy functional corresponding to the problem satisfying the local (PS)c condition, we prove the existence of at least one pair of positive solutions for the elliptic systems. The conclusions of this paper extend the corresponding results of single equation and system of equations.关键词
椭圆方程组/临界指数/Hardy项/正解Key words
elliptic systems/ critical exponent/ Hardy term/ positive solution分类
数理科学引用本文复制引用
吕登峰..一类含临界耦合非线性项的奇异椭圆方程组的正解[J].数学杂志,2012,32(2):357-362,6.基金项目
国家自然科学基金资助项目(10631030) （10631030）
孝感学院青年项目(z2011004). （z2011004）
