Skip to main content
eScholarship
Open Access Publications from the University of California
Refine Search

UC Irvine

UC Irvine Previously Published Works bannerUC Irvine

Homoclinic solutions of nonlinear second-order Hamiltonian systems

Published Web Location

https://doi.org/10.1007/s10231-015-0538-3
Abstract

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.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.


Top