Chao Ji, Fei Fang, Binlin Zhang
Abstract:
This article concerns the existence of the least energy sign-changing
solutions for the Schrodinger-Poisson system
Because the so-called nonlocal term
is involved in the
system, the variational functional of the above system has totally different
properties from the case of
.
By constraint variational method
and quantitative deformation lemma, we prove that the above problem has one
least energy sign-changing solution. Moreover, for any
,
we show that the energy of a sign-changing solution is strictly larger than
twice of the ground state energy. Finally, we consider
as a
parameter and study the convergence property of the least energy sign-changing
solutions as
.
Submitted September 9, 2017. Published November 13, 2017.
Math Subject Classifications: 35J20, 35J60.
Key Words: Schrodinger-Poisson system; sign-changing solutions;
constraint variational method; quantitative deformation lemma.
Show me the PDF file (257 KB), TEX file for this article.
Chao Ji Department of Mathematics East China University of Science and Technology Shanghai 200237, China email: jichao@ecust.edu.cn | |
Fei Fang Department of Mathematics Beijing Technology and Business University Beijing 100048, China email: fangfei68@163.com | |
Binlin Zhang Department of Mathematics Heilongjiang Institute of Technology Harbin 150050, China email: zhangbinlin2012@163.com |
Return to the EJDE web page