一类退化椭圆方程组的无穷多解

Infinitely many solutions for a class of degenerate elliptic systems

退化椭圆方程组与一些连续导体介质的物理问题有关,近年来越来越多的学者开始研究退化椭圆方程组的多解性。在有界区域上研究一类带有非线性项的退化椭圆方程组,运用变分方法得到该方程组的无穷多解。

@@@@Degenerate elliptic equations associated with the physical problems of some continuous conductive medium, in recent years, more and more scholars begin to study uncertainty of degenerate elliptic equations.This paper is concerned with a class of degenerate elliptic systems with nonlinear term in bounded domain. By using variational methods, we get infinitely many solutions.