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Homoclinic solutions of nonlinear second-order Hamiltonian systems
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https://doi.org/10.1007/s10231-015-0538-3Abstract
We study the existence of homoclinic solutions for a second-order nonautonomous dynamical system including both the kinetic and potential terms. We assume very little concerning the kinetic term, just enough to make the essential spectrum of the linear operator the same as that for free particles. Our theorems cover all cases and allow both sublinear and superlinear problems. We obtain ground state solutions.
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