Improvement of flatness for vector valued free boundary problems

For a vectorial Bernoulli-type free boundary problem, with no sign assumption on the components, we prove that flatness of the free boundary implies <em>C</em><sup>1,<em>α</em></sup> regularity, as well-known in the scalar case [1, 4]. While in [15] the same resul...

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Bibliographic Details
Main Authors: Daniela De Silva, Giorgio Tortone
Format: Article
Language:English
Published: AIMS Press 2020-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020027/fulltext.html