带参数的渐近线性椭圆方程组非平凡解的存在性  

The Existence of Nontrivial Solutions for a Class of Asymptotically linear Elliptic System with Parameters

作　　者：彭超权[1] 刘颖[1] 王芳[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2015年第1期111-112,116,共3页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：中南民族大学研究生创新基金资助项目(2014sycxjj125);中南民族大学中央高校基本科研业务费专项资金资助项目(CZY12013)

摘　　要：研究了一类带参数的渐近线性椭圆方程组,其非线性项不满足增长性条件.利用山路定理,证明了在一定条件下该方程组非平凡解的存在性.In this paper,a class of asymptotically linear elliptic system with parameters is studied. The nonlinear term of this elliptic system does not satisfy increasing condition. Under certain conditions,the existence of nontrivial solution to the system is obtained by using Mountain pass theorem.

关 键 词：渐近线性方程组 山路定理 非平凡解 

分 类 号：O175.25[理学—数学]