摘要
在这篇文章中,我们讨论二阶半线性椭圆型方程组正整体解.利用不动点理解,单调方法和上下解技巧,由Lp估计和Schauder正则理论以及对角线方法,我们得到二阶椭圆型弱藕合组正整体解的存在性;我们还进一步讨论了广泛的一类二阶半线性椭圆型方程组,并利用正整体解的存在性结论,证明了这类椭圆型方程组有无穷多个有界,且其界异于零的整体解.
In this paper the author discusses the positive entire solutions of second order semilinear elliptic system, and then establishes the existence of positive entire solution of second order semilinear weak couple of elliptic system by means of the theory of fixed point, monotone method and super-subsolution. Finally, the author proves that this kind of elliptic system is possessed of infinitely many positive entire solutions whose components are bounded and bounded away from zero in R^n.
关键词
椭圆型方程组
整体解
不动点理论
elliptic
entire solution
theory of fixed point
monotone method
super-subsolution
