Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 57-68 |
| Number of pages | 12 |
| Journal | Portugaliae Mathematica |
| Volume | 81 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- Dini mean oscillation condition
- Harnack’s inequality
- Lipschitz continuity
- free boundary problem
ASJC Scopus subject areas
- General Mathematics
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