Electron. J. Diff. Equ., Vol. 2015 (2015), No. 274, pp. 1-9.

Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential

Hongliang Liu, Haibo Chen

Abstract:
In this article, we study a Kirchhoff-type equation with sign-changing potential on an infinite domain. Using Morse theory and variational methods, we show the existence of two and of infinitely many nontrivial solutions.

Submitted December 20 2014. Published October 21, 2015.
Math Subject Classifications: 35J15, 35J20, 38E05.
Key Words: Multiple solutions; Kirchhoff-type equation; sign-changing potential; Morse theory; variational methods.

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Hongliang Liu
Department of Mathematics
Central South University
Changsha, 410083 Hunan, China
email: math_lhliang@163.com
Haibo Chen
Department of Mathematics
Central South University
Changsha, 410083 Hunan, China
email: math_chb@csu.edu.cn

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