Xianzhong Yao, Chunlai Mu
Abstract:
In this article we consider the Kirchhoff-type elliptic problem
where
and
with
if
, and
otherwise.
We show that the problem possesses infinitely many sign-changing solutions
by using combination of invariant sets of descent flow and the
Ljusternik-Schnirelman type minimax method.
Submitted December 3, 2015. Published February 29, 2016.
Math Subject Classifications: 35J60, 58E05, 34C14.
Key Words: Kirchhoff-type; sign-changing solutions; invariant sets of descent flow.
An addendum was posted on April 27, 2017. It corrects Theorem 1.1. See the last three pages of this article.
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Xianzhong Yao College of Mathematics and Statistics Chongqing University Chongqing 401331, China email: yaoxz416@163.com | |
Chunlai Mu College of Mathematics and Statistics Chongqing University Chongqing 401331, China email: clmu2005@163.com |
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