Lipschitz Continuity of Minimizers for the Ginzburg-Landau Functional Between Alexandrov Spaces

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Abstract

In this paper, we shall prove that any minimizer of Ginzburg-Landau functional from an Alexandrov space with curvature bounded below into a nonpositively curved metric cone must be locally Lipschitz continuous.

Keywords:

Ginzburg-Landau functional Alexandrov space NPC metric space.
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