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 |
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Pages (from-to) | 447-454 |
Number of pages | 8 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 57 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1998 Jun |
All Science Journal Classification (ASJC) codes
- Mathematics(all)