Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Li, Fuyi¹  Gao, Chunjuan¹  Zhu, Xiaoli¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

关键词: Kirchhoff-type system;    Hartree-type nonlinearity;    Sign-changing solution;    Concentration;   

DOI  :  10.1016/j.jmaa.2016.10.069

来源: Elsevier

【 摘 要 】

In this paper, we discuss the existence and the concentration of sign-changing solutions to a class of Kirchhoff-type systems with Hartree-type nonlinearity in R-3. By the minimization argument on the sign-changing Nehari manifold and a quantitative deformation lemma, we prove that the system has a sign-changing solution. Moreover, concentration behaviors of sign-changing solutions are obtained when the coefficient of the potential function tends to infinity. Specially, our results cover general Schrodinger equations, Kirchhoff equations and Schrodinger Poisson systems. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free