WEAK SOLUTIONS FOR THE HAMILTONIAN BIFURCATION PROBLEM

Title & Authors
WEAK SOLUTIONS FOR THE HAMILTONIAN BIFURCATION PROBLEM
Choi, Q-Heung; Jung, Tacksun;

Abstract
We get a theorem which shows the multiple weak solutions for the bifurcation problem of the superquadratic nonlinear Hamiltonian system. We obtain this result by using the variational method, the critical point theory in terms of the $\small{S^1}$-invariant functions and the $\small{S^1}$-invariant linear subspaces.
Keywords
Hamiltonian system;bifurcation problem;superquadratic nonlinearity;variational method;critical point theory;$\small{S^1}$-invariant function;$\small{S^1}$-invariant subspace;$\small{(P.S.)^*_c}$ condition;
Language
English
Cited by
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