### 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 |

Publication status | Published - 1998 Jun 1 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Bulletin of the Australian Mathematical Society*,

*57*(3), 447-454.

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*Bulletin of the Australian Mathematical Society*, vol. 57, no. 3, pp. 447-454.

**An oscillation estimate to a variational inequality.** / Bae, Hyeong Ohk; Choe, Hi Jun.

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 -