Abstract
We prove that solutions for elliptic equations and variational inequalities are continuous pointwisely if the obstacle is continuous pointwisely. The continuity of weakly monotone functions in a high Sobolev space is crucial. Also a comparison principle is useful in estimating oscillations of solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 447-454 |
| Number of pages | 8 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 57 |
| Issue number | 3 |
| Publication status | Published - 1998 Jun 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Bae, H. O., & Choe, H. J. (1998). An oscillation estimate to a variational inequality. Bulletin of the Australian Mathematical Society, 57(3), 447-454.