一类具有组合非线性项的分数阶方程的多重解（英文）  

Multiple Solutions for a Class of Fractional Equations with Combined Nonlinearities

作　　者：夏鸿鸣[1] 裴瑞昌[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《应用数学》2017年第4期780-790,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11571176 and11661070);NSF of Gansu Province(1506RJZE114)

摘　　要：本文研究一类具有组合非线性项的分数阶Laplacian方程,在共振与非共振情形下,运用山路理论、Morse理论、Ekeland变分原理,建立了5个非平凡解的存在性结果.In this paper, we study a class of fractional Laplace equations with combined nonlinearities. The existence results of five nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method, Ekeland variational principle and Morse theory.

关 键 词：分数阶-Laplacian 多重解 EKELAND变分原理 山路理论 MORSE理论 

分 类 号：O175.2[理学—数学]