Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
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Existence and Multiplicity of Solutions for Nonlinear Schrdinger-Kirchhoff-Type Equations in RN
DOI:
10.16355/j.cnki.issn1007-9432tyut.2018.02.020
Received:
Accepted:
| Corresponding author | Institute | |
| HUI Yanmei | College of Mathematics, Taiyuan University of Technology |
abstract:
The existence and multiplicity of nontrivial solutions for Schrdinger-Kirchhoff type equations in RN with subcritical nonlinearities term were investigated by using variational methods.Firstly, it was proved that the energy functional is bounded from below and satisfies (PS) condition under certain assumptions, thus giving a critical value of the energy functional.Then it was proved that the equation has at least a nontrivial solution.Furtherly, it was proved that the equation has infinitely many nontrivial solutions by combining with genus properties when the nonlinear term is odd.
Keywords:
Schrdinger-Kirchhoff-type equation; subcritical; nontrivial solutions; variational methods; genus;