An oscillation estimate to a variational inequality

Hyeong Ohk Bae; Hi Jun Choe

doi:10.1017/s0004972700031865

An oscillation estimate to a variational inequality

Hyeong Ohk Bae, Hi Jun Choe

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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
DOIs	https://doi.org/10.1017/s0004972700031865
Publication status	Published - 1998 Jun

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1017/s0004972700031865

Fingerprint Dive into the research topics of 'An oscillation estimate to a variational inequality'. Together they form a unique fingerprint.

Cite this

@article{932695d23d2946b599aacbaad94adea3,

title = "An oscillation estimate to a variational inequality",

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.",

author = "Bae, {Hyeong Ohk} and Choe, {Hi Jun}",

year = "1998",

month = jun,

doi = "10.1017/s0004972700031865",

language = "English",

volume = "57",

pages = "447--454",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - An oscillation estimate to a variational inequality

AU - Bae, Hyeong Ohk

AU - Choe, Hi Jun

PY - 1998/6

Y1 - 1998/6

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

U2 - 10.1017/s0004972700031865

DO - 10.1017/s0004972700031865

M3 - Article

AN - SCOPUS:0040681736

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 -

An oscillation estimate to a variational inequality

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this