Existence of nontrivial solutions for a class of Kirchhoff equation with indefinite and 3-linear nonlinearity. (May 2020)

• Record Type: Journal Article
• Authors: Shen, Zupei; Han, Zhiqing
• Is Part Of: Applied mathematics letters. Volume 103(2020)
• Publication Date: 2020-05
• Subjects: Kirchhoff equation -- Indefinite nonlinearity -- Concentration-compactness principle -- Nehari manifold; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106205
• Languages: English
• ISSNs: 0893-9659

Abstract

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.