文献类型：期刊文献

英文题名：Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs

作者：Pan, Guofu[1];Ji, Chao[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2023

卷号：133

期号：4

起止页码：463

外文期刊名：ASYMPTOTIC ANALYSIS

收录：;EI(收录号：20233014430612);WOS:【SCI-EXPANDED(收录号:WOS:001034504300002)】；

基金：C. Ji was partially supported by National Natural Science Foundation of China (No. 12171152) and Natural Science Foundation of Shanghai (No. 20ZR1413900).

语种：英文

外文关键词：Kirchhoff equations; locally finite graphs; sign-changing solutions; variational methods

摘要：In this paper, we study the least energy sign-changing solutions to the following nonlinear Kirchhoff equation -(a + b integral(V) vertical bar del u vertical bar(2) d mu) Delta u + c(x)u = f (u) on a locally finite graph G = (V, E), where a, b are positive constants. We use the constrained variational method to prove the existence of a least energy sign-changing solution u(b) of the above equation if c(x) and f satisfy certain assumptions, and to show the energy of ub is strictly larger than twice that of the least energy solutions. Moreover, if we regard b as a parameter, as b -> 0(+), the solution ub converges to a least energy sign-changing solution of a local equation -a Delta u + c(x)u = f (u).