Abstract
In this paper, the authors study the existence of nontrivial solutions for the Hamiltonian systems \( \dot z \)(t) = J▽H(t, z(t)) with Lagrangian boundary conditions, where
is a semipositive symmetric continuous matrix and
satisfies a superquadratic condition at infinity. We also obtain a result about the L-index.
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Partially supported by the National Natural Science Foundation of China (Nos. 10531050, 10621101) and the 973 Project of the Ministry of Science and Technology of China.
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Li, C., Liu, C. Nontrivial solutions of superquadratic Hamiltonian systems with Lagrangian boundary conditions and the L-index theory. Chin. Ann. Math. Ser. B 29, 597–610 (2008). https://doi.org/10.1007/s11401-008-0112-z
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DOI: https://doi.org/10.1007/s11401-008-0112-z