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- W2949848288 abstract "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 Euclidean area. Non-existence of minimizers can occur and examples are provided. This continues the investigation begun in [ABCDS] where the metric ds^2 near the singularities equals a quadratic polynomial times the standard metric. Here we allow the conformal factor to be any smooth non-negative potential vanishing at isolated points provided the Hessian at these points is positive definite. These isoperimetric curves, appropriately parametrized, arise as traveling wave solutions to a bi-stable Hamiltonian system." @default.
- W2949848288 created "2019-06-27" @default.
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- W2949848288 date "2016-07-28" @default.
- W2949848288 modified "2023-09-27" @default.
- W2949848288 title "A Degenerate Isoperimetric Problem in the Plane" @default.
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