On periodic solutions of superquadratic Hamiltonian systems

By G. Fei. 2002

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Anisotropic nonlinear Neumann problems (2011, result): “Similar conditions can be found in Costa–Magalhães [11] and Fei [19].”
Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “Similar superlinearity conditions were used by Costa and Magalhaes [8], Fei [12] and Li, Wu and Zhou [22].”
Periodic and subharmonic solutions of second-order Hamiltonian systems (2004, background): “2 in [5], functionF must be such that lim|x|→0 F(t, x)/|x|2 = 0, but by (3), 0< lim|x|→0 F(t, x)/|x|2 < ω2/2 is permitted in our Theorem 1.”
Hamiltonian elliptic systems: a guide to variational frameworks (2014, background): “0) \E+, Q:= R(w;A tAsw) E ). Once we have the existence of at least one solution, the existence of a solution with least energy follows from a compactness argument. 1In the sense of equation (3.7) in [61]. HAMILTONIAN ELLIPTIC SYSTEMS: A GUIDE TO VARIATIONAL FRAMEWORKS 15 Corollary 2.5. Take (p;q) s”