Abstract
In this paper we study a double phase problem with an irregular obstacle. The energy functional under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm, which can be regarded as a borderline case of the double phase functional with (Formula presented.) -growth. We obtain an optimal global Calderón–Zygmund type estimate for the obstacle problem with double phase in the borderline case.
| Original language | English |
|---|---|
| Pages (from-to) | 651-669 |
| Number of pages | 19 |
| Journal | Mathematische Nachrichten |
| Volume | 293 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Apr 2020 |
Keywords
- 35B65
- 35J87
- BMO coefficient
- Calderón–Zygmund estimate
- double phase problem
- obstacle problem
- Reifenberg flat domain