具变号权函数的拟线性椭圆方程组多重解的存在性

Existence of Multiple Solutions for a Quasilinear Elliptic System Involving Sign-changing Weight Functions

本文研究了具变号权函数的拟线性椭圆方程组多重解的存在性，通过运用变分法，作者得出问题在一定的条件下至少存在两个非平凡非负解．

The main purpose of this paper is to establish the existence of multiple solutions for a quasilinear elliptic system involving sign-changing weight functions. It is shown, by variational methods, that under certain conditions, the system has at least two nontrivial nonnegative solutions.