An oscillation estimate to a variational inequality

Hyeong Ohk Bae, Hi Jun Choe

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)447-454
Number of pages8
JournalBulletin of the Australian Mathematical Society
Volume57
Issue number3
Publication statusPublished - 1998 Jun 1

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Variational Inequalities
Oscillation
Estimate
Comparison Principle
Monotone Function
Elliptic Equations
Sobolev Spaces

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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 journalArticle

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