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Dive into the research topics where Chungen Liu is active.

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Annales De L Institut Henri Poincare-analyse Non Lineaire | 1999

Hyperbolic characteristics on star-shaped hypersurfaces

Chungen Liu; Yiming Long

Abstract In this paper, we study the stability of closed characteristics on a starshaped compact smooth hypersurface Σ in R 2n. We show that the Maslov-type mean index of such a closed characteristic is independent of the choice of the Hamiltonian functions, and prove that on Σ either there are infinitely many closed characteristics, or there exists at least one nonhyperbolic closed characteristic, provided every closed characteristic possesses its Maslov-type mean index greater than 2 when n is odd, and greater than 1 when n is even.


Nonlinear Analysis-theory Methods & Applications | 2010

Infinitely many homoclinic solutions for second order Hamiltonian systems

Qingye Zhang; Chungen Liu


Journal of Differential Equations | 2000

Iteration Inequalities of the Maslov-Type Index Theory with Applications

Chungen Liu; Yiming Long


Nonlinear Analysis-theory Methods & Applications | 2000

Subharmonic solutions of Hamiltonian systems

Chungen Liu


Journal of Differential Equations | 2014

Iteration theory of L-index and multiplicity of brake orbits

Chungen Liu; Duanzhi Zhang


Journal of Differential Equations | 2011

Infinitely many periodic solutions for second order Hamiltonian systems

Qingye Zhang; Chungen Liu


Nonlinear Analysis-theory Methods & Applications | 2012

Multiple solutions for a class of semilinear elliptic equations with general potentials

Qingye Zhang; Chungen Liu


Chinese Annals of Mathematics, Series B | 2006

Maslov P-Index Theory for a Symplectic Path with Applications

Chungen Liu


Journal of Differential Equations | 2005

Cup-length estimate for Lagrangian intersections☆

Chungen Liu


Nonlinear Analysis-theory Methods & Applications | 2015

Iteration inequalities of the Maslov P-index theory with applications

Chungen Liu; Shanshan Tang

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