Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2014.07.11
  • Published : 2015.07.31
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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.

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References

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