文献类型：期刊文献

英文题名：A multiplicity result for asymptotically linear Kirchhoff equations

作者：Ji, Chao[1];Fang, Fei[2];Zhang, Binlin[3]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China;[3]Heilongjiang Inst Technol, Dept Math, Harbin 150050, Heilongjiang, Peoples R China

年份：2019

卷号：8

期号：1

起止页码：267

外文期刊名：ADVANCES IN NONLINEAR ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000459891200014)】；

基金：The first author is supported by NSFC (No. 11301181) and China Postdoctoral Science Foundation, the second author is supported by Young Teachers Foundation of BTBU (No. QNJJ2016-15). The third author was supported byNatural Science Foundation of Heilongjiang Province of China (No. A201306) and Research Foundation of Heilongjiang Educational Committee (No. 12541667) and Doctoral Research Foundation of Heilongjiang Institute of Technology (No. 2013BJ15).

语种：英文

外文关键词：Kirchhoff type equations; asymptotically linear; ground state solution; variational methods

摘要：In this paper, we study the following Kirchhoff type equation: -(1 + b integral(RN) vertical bar del u vertical bar(2) dx)Delta u + u = a(x)f(u) in R-N, u is an element of H-1(R-N), where N >= 3, b > 0 and f(s) is asymptotically linear at infinity, that is, f(s) similar to O(s) as s -> +infinity. By using variational methods, we obtain the existence of a mountain pass type solution and a ground state solution under appropriate assumptions on a(x).