一类分数阶椭圆型方程的非平凡解  

Nontrivial Solutions for a Class of Fractional Elliptic Equation

作　　者：张申贵[1] ZHANG Shengui(School of Mathematics and Computer Science,North-west Minzu University,Lanzhou 730030,Chin)

机构地区：[1]西北民族大学数学与计算机科学学院,兰州730030

出　　处：《吉林大学学报（理学版）》2018年第4期786-792,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:31260098);甘肃省科技计划项目(批准号:1610RJZA102);中央高校基本科研业务费专项基金(批准号:31920170147)

摘　　要：用临界点理论和变分方法,考虑一类具有超线性非线性项和非局部系数的分数阶椭圆型方程,在Ambrosetti-Rabinowitz型超线性条件不满足的情形下,获得了该类问题非平凡解的存在性结果.The author considered a class of fractional elliptic equation with superlinear nonlinearity and nonlocal coefficient by using critical point theory and variational method.Some results for existence of nontrivial solutions of this kind of problem were obtained without the Ambrosetti-Rabinowitz＇s superlinear condition.

关 键 词：非平凡解 分数阶椭圆型方程 临界点 

分 类 号：O177.91[理学—数学] O175.25[理学—基础数学]