The thin obstacle problem for some variable coefficient degenerate elliptic operators. (October 2022)

• Record Type: Journal Article
• Authors: Banerjee, Agnid; Buseghin, Federico; Garofalo, Nicola
• Is Part Of: Nonlinear analysis. Volume 223(2022)
• Publication Date: 2022-10
• Subjects: Thin obstacle -- Almgren monotonicity -- Extension problem -- Regularity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113052
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we establish the optimal interior regularity and the C 1, 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.