Multiple solutions for second-order Hamiltonian systems via computation of the critical groups

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 7, 2001, Pages 975-989

  Zou, Wenming ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Betti number; Critical group; Hamiltonian systems; Resonance

Indexed keywords

HAMILTONIANS; SET THEORY; THEOREM PROVING;

ASYMPTOTICALLY LINEAR SECOND-ORDER HAMILTONIAN SYSTEMS; MORSE THEORY;

LINEAR EQUATIONS;

EID: 0035372016     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00324-7     Document Type: Article

References (11)

1. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
2. Critical point theory for asymptotically quadratic functionals with applications to problems at resonance
3. Existence and multiplicity results for homogeneous second order differential equations
4. Un criterio de esistenza per i punti su varietà ilimitate
5. On differentiable functions with isolated critical point
6. Solutions periodiques d'un system differential non lineaire du second order avec changement de sign
7. Periodic solutions of a second order superquadratic system with a change of signe in the potential
8. Multiple solutions for indefinite functional with applications to asymptotically linear problems