Qingxuan Wang, Dun Zhao, Kai Wang
Abstract:
We study the eigenvalue problem
where
,
,
, V(x) is
indefinite and allowed to be unbounded from below, and K(x) is
nonnegative and allowed to be unbounded from above.
When
(the lowest spectrum of the operator
,
we obtain a positive ground state solution by using the
constrained minimization method. Also we discuss the regularity of
solutions.
Submitted November 22, 2015. Published August 16, 2016.
Math Subject Classifications: 35R11.
Key Words: Nonlinear fractional Schrodinger equation; ground state;
positive solution; weakly continuous.
Show me the PDF file (317 KB), TEX file for this article.
Qingxuan Wang School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: wangqx12@lzu.edu.cn Fax +86 931 8912481 | |
Dun Zhao School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: zhaod@lzu.edu.cn | |
Kai Wang School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: wangk2010@lzu.edu.cn |
Return to the EJDE web page