Journal article
A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System
Abstract
We analyze a nonstandard isoperimetric problem in the plane associated with a metric having degenerate conformal factor at two points. Under certain assumptions on the conformal factor, we establish the existence of curves of least length under a constraint associated with enclosed euclidean area. As a motivation for and application of this isoperimetric problem, we identify these isoperimetric curves, appropriately parametrized, as traveling …
Authors
Alama S; Bronsard L; Contreras A; Dadok J; Sternberg P
Journal
Communications on Pure and Applied Mathematics, Vol. 70, No. 2, pp. 340–377
Publisher
Wiley
Publication Date
2 2017
DOI
10.1002/cpa.21615
ISSN
0010-3640