The heteroclinic connection problem for general double-well potentials

preprint2016arXivOpen access

Abstract

By variational methods, we provide a simple proof of existence of a heteroclinic orbit to the Hamiltonian system u′′=∇W(u)u''=\nabla W(u) that connects the two global minima of a double-well potential WW. Moreover, we consider several inhomogeneous extensions.

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