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math.AP2014
On the -limit for a non-uniformly bounded sequence of two phase metric functionals
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
In this study we consider the -limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\in…
math.AP2014
The Finsler Metric Obtained as the -limit of a Generalised Manhattan Metric
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
The -limit for a sequence of length functionals associated with a one parameter family of Riemannian manifolds is computed analytically. The Riemannian manifold is of `two-phase…