15 August 2023 On global solutions of the obstacle problem
Simon Eberle, Henrik Shahgholian, Georg S. Weiss
Author Affiliations +
Duke Math. J. 172(11): 2149-2193 (15 August 2023). DOI: 10.1215/00127094-2022-0078

Abstract

Assuming a lower bound on the dimension, we prove a long-standing conjecture concerning the classification of global solutions of the obstacle problem with unbounded coincidence sets.

Citation

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Simon Eberle. Henrik Shahgholian. Georg S. Weiss. "On global solutions of the obstacle problem." Duke Math. J. 172 (11) 2149 - 2193, 15 August 2023. https://doi.org/10.1215/00127094-2022-0078

Information

Received: 29 April 2021; Revised: 27 June 2022; Published: 15 August 2023
First available in Project Euclid: 28 June 2023

MathSciNet: MR4627249
zbMATH: 07732804
zbMATH: 1522.35600
Digital Object Identifier: 10.1215/00127094-2022-0078

Subjects:
Primary: 35R35

Keywords: free boundaries , global solutions , null quadrature domains , obstacle problem

Rights: Copyright © 2023 Duke University Press

Vol.172 • No. 11 • 15 August 2023
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