Optimal regularity at the free boundary for the infinity obstacle problem

J. D. Rossi; E. V. Teixeira; J. M. Urbano

doi:10.4171/IFB/347

Optimal regularity at the free boundary for the infinity obstacle problem

J. D. Rossi, E. V. Teixeira, J. M. Urbano

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C1,1/3-regularity of the solutions at the free boundary.

Original language	English (US)
Pages (from-to)	381-398
Number of pages	18
Journal	Interfaces and Free Boundaries
Volume	17
Issue number	3
DOIs	https://doi.org/10.4171/IFB/347
State	Published - Jan 1 2015
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Surfaces and Interfaces

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10.4171/IFB/347

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title = "Optimal regularity at the free boundary for the infinity obstacle problem",

abstract = "This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C1,1/3-regularity of the solutions at the free boundary.",

author = "Rossi, {J. D.} and Teixeira, {E. V.} and Urbano, {J. M.}",

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T1 - Optimal regularity at the free boundary for the infinity obstacle problem

AU - Rossi, J. D.

AU - Teixeira, E. V.

AU - Urbano, J. M.

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PY - 2015/1/1

Y1 - 2015/1/1

N2 - This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C1,1/3-regularity of the solutions at the free boundary.

AB - This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C1,1/3-regularity of the solutions at the free boundary.

UR - https://ems.press/doi/10.4171/ifb/347

UR - http://www.scopus.com/inward/record.url?scp=84946562174&partnerID=8YFLogxK

U2 - 10.4171/IFB/347

DO - 10.4171/IFB/347

M3 - Article

SN - 1463-9963

VL - 17

SP - 381

EP - 398

JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

IS - 3

ER -

Optimal regularity at the free boundary for the infinity obstacle problem

Abstract

Bibliographical note

ASJC Scopus subject areas

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