Abstract
In this paper we consider the obstacle problem for the p(x)-Laplace operator. Assuming that p is locally Lipschitz continuous, we establish the growth rate of the solution near the free boundary from which we deduce its porosity.
| Original language | English |
|---|---|
| Pages (from-to) | 109-123 |
| Number of pages | 15 |
| Journal | Portugaliae Mathematica |
| Volume | 68 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
Keywords
- Free boundary
- Obstacle problem
- P(x)-Laplacian
- Porosity
ASJC Scopus subject areas
- General Mathematics
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