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)

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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.",

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An oscillation estimate to a variational inequality

Abstract

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