Volume 35, Issue 3
Lipschitz Continuity of Minimizers for the Ginzburg-Landau Functional Between Alexandrov Spaces

Jia-Cheng Huang & Hui-Chun Zhang

Ann. Appl. Math., 35 (2019), pp. 266-308.

Published online: 2020-08

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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.

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@Article{AAM-35-266, author = {Huang , Jia-Cheng and Zhang , Hui-Chun}, title = {Lipschitz Continuity of Minimizers for the Ginzburg-Landau Functional Between Alexandrov Spaces}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {3}, pages = {266--308}, 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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18083.html} }
TY - JOUR T1 - Lipschitz Continuity of Minimizers for the Ginzburg-Landau Functional Between Alexandrov Spaces AU - Huang , Jia-Cheng AU - Zhang , Hui-Chun JO - Annals of Applied Mathematics VL - 3 SP - 266 EP - 308 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18083.html KW - Ginzburg-Landau functional, Alexandrov space, NPC metric space. AB -

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.

Huang , Jia-Cheng and Zhang , Hui-Chun. (2020). Lipschitz Continuity of Minimizers for the Ginzburg-Landau Functional Between Alexandrov Spaces. Annals of Applied Mathematics. 35 (3). 266-308. doi:
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