Coincidence sets in the obstacle problem for the p-harmonic operator

Shigeru Sakaguchi

doi:10.1090/S0002-9939-1985-0806075-1

Coincidence sets in the obstacle problem for the p-harmonic operator

Shigeru Sakaguchi

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

We consider the obstacle problem for the P-harmonic operator div(|∇.|^p-2 ∇.) with P > 1, and show that the coincidence set is star shaped under certain conditions on the obstacle.

Original language	English
Pages (from-to)	382-386
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	95
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1985-0806075-1
Publication status	Published - 1985 Nov
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1985-0806075-1

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Sakaguchi, S. (1985). Coincidence sets in the obstacle problem for the p-harmonic operator. Proceedings of the American Mathematical Society, 95(3), 382-386. https://doi.org/10.1090/S0002-9939-1985-0806075-1

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