2 papers
math.DG2016
A Degenerate Isoperimetric Problem in the Plane
Jiri Dadok, Peter Sternberg
We establish sufficient conditions for existence of curves minimizing length as measured with respect to a degenerate metric on the plane while enclosing a specified amount of Eucl…
math.AP2015
A Degenerate Isoperimetric Problem and Traveling Waves to a Bi-stable Hamiltonian System
Stan Alama, Lia Bronsard, Andres Contreras +2
We analyze a non-standard isoperimetric problem in the plane associated with a metric having degenerate conformal factor at two points. Under certain assumptions on the conformal f…