Remarks on the decay/growth rate of solutions to elliptic free boundary problems of obstacle type

The purpose of this note is to present a “new” approach to the decay rate of the solutions to the no-sign obstacle problem from the free boundary, based on Weiss-monotonicity formula. In presenting the approach we have chosen to treat a problem which is not touched earlier in the existing literature...

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Bibliographic Details
Main Authors: Morteza Fotouhi, Andreas Minne, Henrik Shahgholian, Georg S. Weiss
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.2020032/fulltext.html