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| Some Abstract Critical Point Theorems for Self-adjoint Operator Equations and Applications |
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Citation： |
Chungen LIU,Qi WANG.Some Abstract Critical Point Theorems for Self-adjoint Operator Equations and Applications[J].Chinese Annals of Mathematics B,2011,32(1):1~14 |
| Page view： 1701
Net amount： 1251 |
Authors： |
Chungen LIU; Qi WANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11071127, 10621101,
10901118) and the 973 project of the Ministry of Science and Technology of China (No. 2011CB808002). |
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| Abstract： |
By using the index theory for linear bounded self-adjoint operators in a Hilbert
space related to a fixed self-adjoint operator A with compact resolvent, the authors discuss
the existence and multiplicity of solutions for (nonlinear) operator equations, and give
some applications to some boundary value problems of first order Hamiltonian systems
and second order Hamiltonian systems. |
Keywords： |
Self-adjoint operator equations, Index theory, Relative Morse index,
Dual variational method, Morse theory, Hamiltonian systems |
Classification： |
34C25, 58E05, 58F05 |
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