Hits:
Indexed by:Journal Papers
Date of Publication:2020-05-01
Journal:APPLIED MATHEMATICS LETTERS
Included Journals:EI、SCIE
Volume:103
ISSN No.: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.