Abstract
Motivated by Pazit Haim-Kislev’s combinatorial formula for the Ekeland-Hofer-Zehnder capacities of convex polytopes, we give corresponding formulas for \(\Psi \)-Ekeland-Hofer-Zehnder and coisotropic Ekeland-Hofer-Zehnder capacities of convex polytopes introduced by the second named author and others recently. Contrary to Pazit Haim-Kislev’s subadditivity result for the Ekeland-Hofer-Zehnder capacities of convex domains, we show that the coisotropic Hofer-Zehnder capacities satisfy the superadditivity for suitable hyperplane cuts of two-dimensional convex domains.
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This research was funded by National Natural Science Foundation of China, Grant no [11271044].
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Dedicated to Professor Claude Viterbo on the occasion of his sixtieth birthday.
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Partially supported by the NNSF 11271044 of China.
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Shi, K., Lu, G. Combinatorial formulas for some generalized Ekeland-Hofer-Zehnder capacities of convex polytopes. J. Fixed Point Theory Appl. 23, 67 (2021). https://doi.org/10.1007/s11784-021-00903-y
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DOI: https://doi.org/10.1007/s11784-021-00903-y