TY - JOUR
T1 - Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients
AU - Lyaghfouri, Abdeslem
N1 - Publisher Copyright:
© 2023 Sociedade Portuguesa de Matemática Published by EMS Press This work is licensed under a CC BY 4.0 license
PY - 2024
Y1 - 2024
N2 - We establish local interior Lipschitz continuity of the solutions of a class of free boundary elliptic problems assuming the coefficients of the equation of Dini mean oscillation in at least one direction. The novelty in this regularity result lies in the fact that it allows discontinuous coefficients in all but one variable.
AB - We establish local interior Lipschitz continuity of the solutions of a class of free boundary elliptic problems assuming the coefficients of the equation of Dini mean oscillation in at least one direction. The novelty in this regularity result lies in the fact that it allows discontinuous coefficients in all but one variable.
KW - Dini mean oscillation condition
KW - Harnack’s inequality
KW - Lipschitz continuity
KW - free boundary problem
UR - https://www.scopus.com/pages/publications/85189494649
UR - https://www.scopus.com/pages/publications/85189494649#tab=citedBy
U2 - 10.4171/PM/2113
DO - 10.4171/PM/2113
M3 - Article
AN - SCOPUS:85189494649
SN - 0032-5155
VL - 81
SP - 57
EP - 68
JO - Portugaliae Mathematica
JF - Portugaliae Mathematica
IS - 1-2
ER -