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 › peer-review

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

Access to Document

10.1090/S0002-9939-1985-0806075-1

Cite this

@article{336a56d43c2f4eb1a5e2f63c9e88470a,

title = "Coincidence sets in the obstacle problem for the p-harmonic operator",

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.",

author = "Shigeru Sakaguchi",

year = "1985",

month = nov,

doi = "10.1090/S0002-9939-1985-0806075-1",

language = "English",

volume = "95",

pages = "382--386",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Coincidence sets in the obstacle problem for the p-harmonic operator

AU - Sakaguchi, Shigeru

PY - 1985/11

Y1 - 1985/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84968484157&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968484157&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1985-0806075-1

DO - 10.1090/S0002-9939-1985-0806075-1

M3 - Article

AN - SCOPUS:84968484157

VL - 95

SP - 382

EP - 386

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this