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Ground state solution and multiple solutions to asymptotically linear Schrodinger equations

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Indexed by:期刊论文

Date of Publication:2014-09-25

Journal:BOUNDARY VALUE PROBLEMS

Included Journals:SCIE、Scopus

Volume:2014

Issue:1

Page Number:1-8

ISSN No.: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.

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