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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