Characterizing compact coincidence sets in the obstacle problem—a short proof
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- by S. Eberle and G. S. Weiss
- St. Petersburg Math. J. 32 (2021), 705-711
- DOI: https://doi.org/10.1090/spmj/1665
- Published electronically: July 9, 2021
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Abstract:
The objective of this article is to present a concise and easy-to-extend proof of the known fact that coincidence sets of global solutions of the obstacle problem that are bounded and have nonempty interior are ellipsoids.References
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Bibliographic Information
- S. Eberle
- Affiliation: Faculty of Mathematics, University of Duisburg-Essen, Germany
- Email: simon.eberle@uni-due.de
- G. S. Weiss
- Affiliation: Faculty of Mathematics, University of Duisburg-Essen, Germany
- Email: georg.weiss@uni-due.de
- Received by editor(s): June 11, 2019
- Published electronically: July 9, 2021
- © Copyright 2021 American Mathematical Society
- Journal: St. Petersburg Math. J. 32 (2021), 705-711
- MSC (2020): Primary 35R35
- DOI: https://doi.org/10.1090/spmj/1665
- MathSciNet review: 4167864
Dedicated: Dedicated to Nina Nikolaevna Ural’tseva on the occasion of her $85$th birthday