p-拉普拉斯方程组大解的存在性和渐近行为

Existence and Boundary Behavior of Large Solutions for p-Laplacian System

本文研究一类p-拉普拉斯方程组的边界爆破解的性质.利用构造上下解的方法证明了解的存在性,更进一步地,给出了解的全局估计和渐近行为.

In this paper, we consider the boundary blow-up solutions of a p-Lapalacian system in a smooth bounded domain. By constructing supersolution and subsolution, the existence of positive solution is derived. A global estimate, as well as the boundary behavior, is also proved.