Bull. Korean Math. Soc. 2023; 60(2): 495-505
Online first article March 16, 2023 Printed March 31, 2023
https://doi.org/10.4134/BKMS.b220243
Copyright © The Korean Mathematical Society.
Kyeong Song, Yeonghun Youn
Seoul National University; Yeungnam University
In this note, we study a comparison principle for elliptic obstacle problems of $p$-Laplacian type with $L^1$-data. As a consequence, we improve some known regularity results for obstacle problems with zero Dirichlet boundary conditions.
Keywords: Obstacle problem, regularity theory, comparison principle
MSC numbers: 35B51, 35B65, 35J87, 35R05
Supported by: This work was supported by NRF-2020R1C1C1A01009760.
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