Dongdong Qin, Xianhua Tang
Abstract:
This article concerns the Schrodinger equation
where V and f are periodic in x, and 0 is a boundary point of
the spectrum
.
Assuming that f(x,u) is asymptotically
linear as
,
existence of a ground state solution is established
using some new techniques.
Submitted January 18, 2015. Published August 17, 2015.
Math Subject Classifications: 35J20, 35J60, 35Q55.
Key Words: Schrodinger equation; strongly indefinite functional;
spectrum point zero; asymptotically linear; ground states solution.
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Dongdong Qin School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: qindd132@163.com | |
Xianhua Tang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: tangxh@mail.csu.edu.cn |
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