[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.4.1149

VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM

JUNG, TACKSUN (DEPARTMENT OF MATHEMATICS KUNSAN NATIONAL UNIVERSITY)
CHOI, Q-HEUNG (DEPARTMENT OF MATHEMATICS EDUCATION INHA UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1149-1167 More about this Journal

Abstract

We get a theorem which shows the existence of at least four $2{\pi}$ -periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory.

Keywords

Hamiltonian system; bifurcation problem; superquadratic nonlinearity; variational method; limit relative category; critical point theory; $(P.S.)^*_c$ condition;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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