An obstacle problem for elastic curves: Existence results
Copyright policy )An obstacle problem for elastic curves: Existence results
We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in [8]. More precisely, we investigate nonexistence of graph solutions for special obstacles and extend the class of admissible curves in a way that an existence result can be obtained by a penalization argument.
- University of Ulm Germany
Length, area, volume, other geometric measure theory, Mathematics - Differential Geometry, Partial differential equations of mathematical physics and other areas of application, Curves in Euclidean and related spaces, 49Q20, length penalization, elastic energy, Differential Geometry (math.DG), obstacle problem, Variational problems in a geometric measure-theoretic setting, FOS: Mathematics, convex envelope, Applications of global differential geometry to the sciences
Length, area, volume, other geometric measure theory, Mathematics - Differential Geometry, Partial differential equations of mathematical physics and other areas of application, Curves in Euclidean and related spaces, 49Q20, length penalization, elastic energy, Differential Geometry (math.DG), obstacle problem, Variational problems in a geometric measure-theoretic setting, FOS: Mathematics, convex envelope, Applications of global differential geometry to the sciences
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