Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients (Q6203849)
From MaRDI portal
scientific article; zbMATH DE number 7828349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients |
scientific article; zbMATH DE number 7828349 |
Statements
Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients (English)
0 references
8 April 2024
0 references
Summary: 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.
0 references
Dini mean oscillation condition
0 references
free boundary problem
0 references
Harnack's inequality
0 references
Lipschitz continuity
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
