Release Time:2020-02-17  Hits:

Indexed by: Journal Papers

Date of Publication: 2020-05-01

Journal: APPLIED MATHEMATICS LETTERS

Included Journals: SCIE、EI

Volume: 103

ISSN: 0893-9659

Key Words: Kirchhoff equation; Indefinite nonlinearity; Concentration-compactness principle; Nehari manifold

Abstract: In this article, we investigate the nontrivial solutions of Kirchhoff equation with indefinite and 3-linear nonlinearity. By concentration-compactness principle, we obtain the existence of solutions for this equation. As far as we know, no one studied this case, our main results can be viewed as partial extensions of some known ones in the literature. (C) 2020 Elsevier Ltd. All rights reserved.