Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-09-25

Journal: BOUNDARY VALUE PROBLEMS

Included Journals: Scopus、SCIE

Volume: 2014

Issue: 1

Page Number: 1-8

ISSN: 1687-2770

Key Words: Schrodinger equation; ground state solution; multiplicity of solutions; asymptotically linear

Abstract: In this paper, we consider the Schrodinger equation , , where V and f are periodic in , asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u.