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An oscillation estimate to a variational inequality

Published online by Cambridge University Press:  17 April 2009

Hyeong-Ohk Bae  and
Hi Jun Choe
Hyeong-Ohk Bae
Affiliation:
Department of MathematicsKAISTTaejonRepublic of Korea, e-mail: hobae@mathx.kaist.ac.kr, ch@math.kaist.ac.kr
Hi Jun Choe
Affiliation:
Department of MathematicsKAISTTaejonRepublic of Korea, e-mail: hobae@mathx.kaist.ac.kr, ch@math.kaist.ac.kr
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 447 - 454
Copyright
Copyright © Australian Mathematical Society 1998

References

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