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
张玉灵 1杨海婧 2张新功2
作者信息
- 1. 郑州铁路职业技术学院基础教学部,河南 郑州 451460
- 2. 重庆师范大学数学科学学院,重庆 401331
- 折叠
摘要
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.
Abstract
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 cofficients 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.
关键词
双调和方程组/临界Sobolev指数/Rellich位势项/变系数Key words
biharmonic elliptic systems/Sobolev critical exponent/Rellich potential/coeffi-cient of variation引用本文复制引用
出版年
2024
NETL
NSTL
万方数据