Divergence forms of the ∞-Laplacian

Luigi D'Onofrio; Flavia Giannetti; Tadeusz Iwaniec; Juan Manfredi; Teresa Radice

doi:10.5565/PUBLMAT_50106_13

Divergence forms of the ∞-Laplacian

Luigi D'Onofrio, Flavia Giannetti, Tadeusz Iwaniec, Juan Manfredi, Teresa Radice

Department of Mathematics

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

4 Scopus citations

Abstract

The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W^1,2. To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + iv.

Original language	English (US)
Pages (from-to)	229-248
Number of pages	20
Journal	Publicacions Matematiques
Volume	50
Issue number	1
DOIs	https://doi.org/10.5565/PUBLMAT_50106_13
State	Published - 2006

Keywords

∞-Laplacian operator
∞-harmonic functions

ASJC Scopus subject areas

General Mathematics

Access to Document

10.5565/PUBLMAT_50106_13

Cite this

@article{f6dc6ddc7981468ea28965ecf38c0635,

title = "Divergence forms of the ∞-Laplacian",

abstract = "The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W1,2. To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + iv.",

keywords = "∞-Laplacian operator, ∞-harmonic functions",

author = "Luigi D'Onofrio and Flavia Giannetti and Tadeusz Iwaniec and Juan Manfredi and Teresa Radice",

year = "2006",

doi = "10.5565/PUBLMAT_50106_13",

language = "English (US)",

volume = "50",

pages = "229--248",

journal = "Publicacions Matematiques",

issn = "0214-1493",

publisher = "Universitat Autonoma de Barcelona, Seccio de Matematiques",

number = "1",

}

TY - JOUR

T1 - Divergence forms of the ∞-Laplacian

AU - D'Onofrio, Luigi

AU - Giannetti, Flavia

AU - Iwaniec, Tadeusz

AU - Manfredi, Juan

AU - Radice, Teresa

PY - 2006

Y1 - 2006

N2 - The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W1,2. To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + iv.

AB - The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W1,2. To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + iv.

KW - ∞-Laplacian operator

KW - ∞-harmonic functions

UR - http://www.scopus.com/inward/record.url?scp=33646264546&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646264546&partnerID=8YFLogxK

U2 - 10.5565/PUBLMAT_50106_13

DO - 10.5565/PUBLMAT_50106_13

M3 - Article

AN - SCOPUS:33646264546

SN - 0214-1493

VL - 50

SP - 229

EP - 248

JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 1

ER -

Divergence forms of the ∞-Laplacian

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this