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Song, Kyeong; Youn, Yeonghun

A note on comparison principle for elliptic obstacle problems with \(L^1\)-data. (English) Zbl 1514.35072

Bull. Korean Math. Soc. 60, No. 2, 495-505 (2023).
Summary: 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.

Cited in 2 Documents

MSC:

35B51 Comparison principles in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
35J87 Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators
35R05 PDEs with low regular coefficients and/or low regular data

Keywords:

obstacle problem; regularity theory; comparison principle
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References:

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[23] Kyeong Song Department of Mathematical Sciences Seoul National University Seoul 08826, Korea Email address: kyeongsong@snu.ac.kr
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