点击次数：

论文类型：期刊论文

发表时间：2016-09-01

发表刊物：APPLIED MATHEMATICS LETTERS

收录刊物：SCIE、EI、Scopus

卷号：59

页面范围：31-37

ISSN号：0893-9659

关键字：Kirchhoff equation; Symmetric mountain pass theorem; Small solution; Sublinear term

摘要：In this paper we discuss the following Kirchhoff equation in R-N
   -(a + b integral vertical bar del u vertical bar(2)) Delta u + V(x)u = f (x, u),
   where a, b > 0 are constants and N >= 3. Without any growth condition for the nonlinear term f(x, u) on u at infinity, we obtain a sequence of solutions converging to zero in some Sobolev spaces. (C) 2016 Elsevier Ltd. All rights reserved.