分数阶Laplace方程的多重解  

Multiple solutions of fractional Laplacian equations

作　　者：付永强[1] FU Yongqiang(Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《黑龙江大学自然科学学报》2020年第3期253-259,共7页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China (11771107)。

摘　　要：建立了在无穷远处具超线性增长且在零点附近具鞍点结构的分数阶Laplace方程三个非平凡解的存在性。采用的方法结合了分歧理论和极小极大方法。The existence of three nontrivial solutions for fractional Laplace equations with super-linear growth at infinity and saddle structure near zero is established. The approach is based on a combination of bifurcation theory and minimax methods.

关 键 词：分数阶Laplace方程 分歧 极小极大方法 

分 类 号：O175.29[理学—数学]