Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems

Abstract

Under a generalized subquadratic growth condition, brake orbits are guaranteed via the homological link theorem. Moreover, the minimal period estimate is given by Morse index estimate and $ L_{0} $-index estimate.

Keywords

• hamiltonian system
• sobolev spaces
• weakly continuous functionals
• l₀-index
• brake orbit
• anisotropic growth