含临界指数与Hardy项耦合椭圆系统的非平凡解

Nontrivial Solutions for Coupled Elliptic Systems with Critical Exponents and Hardy Terms

研究了一类含临界指数耦合非线性项的奇异椭圆方程组,通过对临界耦合非线性项的分析与精确的能量估计,利用环绕定理,得到了这类方程组非平凡解的存在性.

In this paper, we study the existence of nontrivial solutions to a class of singular elliptic systems involving critical exponents and coupling nonlinear terms. By analyzing the effect of critical coupled nonlinear terms and estimating energy functional carefully, with the aid of linking theorem, we establish the existence of nontrivial solutions.