In this paper, we consider the minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems. We prove that if the Hamiltonian function H ∈ C2(R2n, R) is unbounded and not uniformly coercive, there exists at least one nonconstant T-periodic brake orbit(z, T) with minimal period T or T /2 for every number T > 0.
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