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LIPSCHITZ CONTINUITY OF MINIMIZERS FOR THE GINZBURG-LANDAU FUNCTIONAL BETWEEN ALEXANDROV SPACES
Jia-Cheng Huang,Hui-Chun Zhang
(Dept. of Math., Sun Yat-sen University, Guangzhou 510275, Guangdong, PR China)
DOI:
Abstract:
In this paper, we shall prove that any minimizer of Ginzburg-Landau functional from an Alexandrov space with curvature bounded below into a non-positively curved metric cone must be locally Lipschitz continuous.
Key words:  Ginzburg-Landau functional, Alexandrov space, NPC metric space