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)
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An oscillation estimate to a variational inequality. / Bae, Hyeong Ohk; Choe, Hi Jun.
In: Bulletin of the Australian Mathematical Society, Vol. 57, No. 3, 01.06.1998, p. 447-454.Research output: Contribution to journal › Article
TY - JOUR
T1 - An oscillation estimate to a variational inequality
AU - Bae, Hyeong Ohk
AU - Choe, Hi Jun
PY - 1998/6/1
Y1 - 1998/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0040681736&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0040681736&partnerID=8YFLogxK
M3 - Article
VL - 57
SP - 447
EP - 454
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
IS - 3
ER -