中文摘要：

利用下降流不变集方法,得到了R^N上一个半线性椭圆方程组无穷多非径向对称变号解的存在性.

英文摘要：

By using the method of invariant sets of descending flow,we obtain the existence of infinitely many sign-changing nonradial symmetric solutions of a semilinear elliptic system in R^N.