Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data

We will study a free boundary value problem driven by a source term which is quite irregular. In the process, we will establish a monotonicity result, and the regularity of solutions to the free boundary value problem under consideration.

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Bibliographic Details
Published in:Applied mathematics letters 2024-10, Vol.156, p.109136, Article 109136
Main Authors: Choudhuri, Debajyoti, Zeng, Shengda
Format: Article
Language:English
Subjects:
Free boundary value problem
Hölder regularity
Monotonicity formula
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Description
Summary:We will study a free boundary value problem driven by a source term which is quite irregular. In the process, we will establish a monotonicity result, and the regularity of solutions to the free boundary value problem under consideration.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2024.109136