The thin obstacle problem for some variable coefficient degenerate elliptic operators

The thin obstacle problem for some variable coefficient degenerate elliptic operators

In this paper, we establish the optimal interior regularity and the C1,γ smoothness of the regular part of the free boundary in the thin obstacle problem for a class of degenerate elliptic equations with variable coefficients. © 2022 Elsevier Ltd

Bibliographic Details
Main Authors: Banerjee, A. (Author), Buseghin, F. (Author), Garofalo, N. (Author)
Format: Article
Language:English
Published: Elsevier Ltd 2022
Subjects:
Almgren monotonicity
C (programming language)
Elliptic operator
Extension problem
Free boundary
Interior regularities
Monotonicity
Nonlinear analysis
Obstacle problems
Regularity
Thin obstacle
Variable coefficients
Online Access:View Fulltext in Publisher
Description
Summary:In this paper, we establish the optimal interior regularity and the C1,γ smoothness of the regular part of the free boundary in the thin obstacle problem for a class of degenerate elliptic equations with variable coefficients. © 2022 Elsevier Ltd
ISBN:0362546X (ISSN)
DOI:10.1016/j.na.2022.113052

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