Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains
This article shows a global gradient estimate in the framework of Orlicz spaces for general parabolic obstacle problems with p(t,x)-Laplacian in a bounded rough domain. It is assumed that the variable exponent p(t,x) satisfies a strong log-Holder continuity, that the associated nonlinearity is...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2020-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/13/abstr.html |
| Summary: | This article shows a global gradient estimate in the framework of Orlicz spaces
for general parabolic obstacle problems with p(t,x)-Laplacian in a bounded
rough domain. It is assumed that the variable exponent p(t,x) satisfies
a strong log-Holder continuity, that the associated nonlinearity is
measurable in the time variable and have small BMO semi-norms in the space
variables, and that the boundary of the domain has Reifenberg flatness. |
|---|---|
| ISSN: | 1072-6691 |