EXISTENCE OF SIX SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEM

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 3,  2008, pp.443-468
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.3.443
Title & Authors
EXISTENCE OF SIX SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEM
Jung, Tack-Sun; Choi, Q-Heung;

Abstract
We give a theorem of existence of six nontrivial solutions of the nonlinear Hamiltonian system $\small{\.{z}}$ = $\small{J(H_z(t,z))}$. For the proof of the theorem we use the critical point theory induced from the limit relative category of the torus with three holes and the finite dimensional reduction method.
Keywords
Hamiltonian system;critical point theory;limit relative category;$\small{(P.S.)^*_c}$ condition;finite dimensional reduction method;
Language
English
Cited by
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