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Zeitschrift für Analysis und ihre Anwendungen

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Volume 12, Issue 3, 1993, pp. 401–404
DOI: 10.4171/ZAA/556

Published online: 1993-09-30

On Regularity of Solutions to Inner Obstacle Problems

J. Banasiak[1] and J. Szczepaniak[2]

(1) University of KwaZulu-Natal, Pietermaritzburg, South Africa
(2) Technical University Lodz, Poland

We determine the class of obstacles, for which the solution of the corresponding inner obstacle problem has the same regularity as obtained when the obstacle is defined on the whole domain. We also show that this is practically the only class of obstacles having this property for arbitrary right-hand sides.

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Banasiak J., Szczepaniak J.: On Regularity of Solutions to Inner Obstacle Problems. Z. Anal. Anwend. 12 (1993), 401-404. doi: 10.4171/ZAA/556