带有Rellich项的双调和非线性方程组解的存在性

Biharmonic Systems Involving the Critical Nonlinearities and Rellich-Type Potentials

文章研究了一类带有不同Rellich位势项和多重Sobolev临界指数的双调和方程组,运用变分法得到在一定条件下,Rellich项系数为变系数时方程组解的存在性,首次把调和方程组的相关结果推广到对应的变系数双调和方程组.

In this paper,a systems of biharmonic equations were studied,which involves mul-tiple critical Sobolev nonlinearities and different Rellich-Type terms.By variational methods,the existence of nontrivial solutions to the problem was established under some certain con-ditions,where the coficients of Rellich-Type terms were functions.And for the first time,the related conclusions for the bihormonic equation were related to the systems of corresponding equation.