分数阶椭圆方程近共振问题解的多重性  

Multiple Solutions for Nonlocal Fractional Problems Near Resonance

作　　者：梁志霞 欧增奇[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2018年第2期64-69,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11471267)

摘　　要：在推广的Landesman-Lazer条件下,利用极小极大方法获得了分数阶椭圆方程在高阶特征值近共振处多个解的存在性.Under a generalized Landesman-Lazer type condition,the existence of two solutions for the fractional equation near resonance at higher eigenvalues is obtained by using the minimax methods.

关 键 词：分数阶椭圆型算子 近共振 Landesman-Lazer条件 多解 

分 类 号：O177.91[理学—数学]