Autor: |
Bayrami, Masoud, Fotouhi, Morteza |
Předmět: |
|
Zdroj: |
Calculus of Variations & Partial Differential Equations; Sep2024, Vol. 63 Issue 7, p1-38, 38p |
Abstrakt: |
We show that any minimizer of the well-known ACF functional (for the p-Laplacian) constitutes a viscosity solution. This allows us to establish a uniform flatness decay at the two-phase free boundary points to improve the flatness, which boils down to C 1 , η regularity of the flat part of the free boundary. This result, in turn, is used to prove the Lipschitz regularity of minimizers by a dichotomy argument. It is noteworthy that the analysis of branch points is also included. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
|