一类不连续非局部分数阶方程多解存在性研究（英文）  

Multiplicity of solutions for nonlocal fractional equations with nonsmooth potentials

作　　者：袁子清 YUAN Ziqing(Big Date College,Tongren University,Tongren 554300,Guizhou,China)

机构地区：[1]铜仁学院大数据学院

出　　处：《上海师范大学学报（自然科学版）》2019年第3期315-326,共12页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Ph.D. Research Start-up Fund(trxyDH1804)

摘　　要：考虑了一类带有非光滑势的非局部分数阶Laplacian问题.通过一个非光滑的三临界点定理及分数阶Sobolev空间的分析技巧,证明了非局部分数价问题至少存在3个非零弱解.This paper is concerned with a class of nonlocal fractional Laplacian problems with nonsmooth potentials. By exploiting an abstract three critical points theorem for nonsmooth functionals, combining with an analytical context on fractional Sobolev spaces, we obtain the existence of at least three weak solutions for nonlocal fractional problems.

关 键 词：非光滑临界点定理 局部Lipschitz 微分包含 分数阶方程 

分 类 号：O29[理学—应用数学]