通过运用Ricceri的一个三临界点定理,讨论了一类具变分结构的拟线性椭圆方程组,获得了多解的存在性,并且给出了解的位置.
The existence of solutions for quasilinear elliptic systems is one of the most important research field in nonlinear problem. By Ricceri's three critical points theorem, the existence of solutions for a class of quasilinear elliptic systems with variational structure was proved and the location of the solutions was also determined.