A Viterbo-Hofer-Zehnder type result for hamiltonian inclusions
نویسنده
چکیده
We obtain a Viterbo-Hofer-Zehnder type result for Hamiltonian inclusions. Let H : : IR2N -~ IR be a locally Lipschitz function and c E IR. Suppose that E := {aE IR2~ ~ ~(a-) = c} is a nonempty compact subset of IR2N and 0 ~ ~H(x) for x E E. Then for any 03B4 > 0 the Hamiltonian inclusion x E has a conservative periodic solution x(t) such that H (~(t)~ = c’ E (c ~ , c + 8) for all t.
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تاریخ انتشار 2017