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Indexed by:期刊论文

Date of Publication:2016-09-01

Journal:APPLIED MATHEMATICS LETTERS

Included Journals:SCIE、EI、Scopus

Volume:59

Page Number:31-37

ISSN No.:0893-9659

Key Words:Kirchhoff equation; Symmetric mountain pass theorem; Small solution; Sublinear term

Abstract: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.