A free boundary optimization problem for the ∞-Laplacian

Rafayel Teymurazyan; José Miguel Urbano

doi:10.1016/j.jde.2017.03.010

A free boundary optimization problem for the ∞-Laplacian

Rafayel Teymurazyan, José Miguel Urbano

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

3 Scopus citations

Abstract

We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.

Original language	English (US)
Pages (from-to)	1140-1159
Number of pages	20
Journal	Journal of Differential Equations
Volume	263
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2017.03.010
State	Published - Jul 15 2017
Externally published	Yes

Bibliographical note

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

ASJC Scopus subject areas

Analysis

Access to Document

10.1016/j.jde.2017.03.010

Cite this

@article{fd06a4e1627141288eacd87c609d3f68,

title = "A free boundary optimization problem for the ∞-Laplacian",

abstract = "We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.",

author = "Rafayel Teymurazyan and Urbano, {Jos{\'e} Miguel}",

note = "Generated from Scopus record by KAUST IRTS on 2023-02-15",

year = "2017",

month = jul,

day = "15",

doi = "10.1016/j.jde.2017.03.010",

language = "English (US)",

volume = "263",

pages = "1140--1159",

journal = "Journal of Differential Equations",

issn = "1090-2732",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A free boundary optimization problem for the ∞-Laplacian

AU - Teymurazyan, Rafayel

AU - Urbano, José Miguel

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2017/7/15

Y1 - 2017/7/15

N2 - We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.

AB - We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.

UR - https://linkinghub.elsevier.com/retrieve/pii/S0022039617301456

UR - http://www.scopus.com/inward/record.url?scp=85015379495&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2017.03.010

DO - 10.1016/j.jde.2017.03.010

M3 - Article

SN - 1090-2732

VL - 263

SP - 1140

EP - 1159

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

A free boundary optimization problem for the ∞-Laplacian

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this