Existence of three solutions for Kirchhoff nonlocal operators of elliptic type

Mathematical Communications

Nyamoradi, Nemat¹ 

[1] Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran

关键词: LaTeX2e;    nonlocal fractional equation;    nonsmooth critical point;    variational methods;    locally Lipschitz;    three solutions;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

InthispaperweprovetheexistenceofatleastthreesolutionstothefollowingKirchhoffnonlocalfractionalequation:\begin{equation*}\begin{cases}M\left(\int_{\mathbb{R}^n\times\mathbb{R}^n}|u(x)-u(y)|^2K(x-y)dxdy...

【 授权许可】

Unknown