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.
|Number of pages||8|
|Journal||Bulletin of the Australian Mathematical Society|
|Publication status||Published - 1998 Jun 1|
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