Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

Behrouz Emamizadeh; Yichen Liu; Giovanni Porru

doi:10.1080/17476933.2020.1843447

Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

Behrouz Emamizadeh, Yichen Liu, Giovanni Porru

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

44 Downloads (Pure)

Abstract

We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.

Original language	English
Pages (from-to)	807-821
Number of pages	15
Journal	Complex Variables and Elliptic Equations
Volume	67
Issue number	4
DOIs	https://doi.org/10.1080/17476933.2020.1843447
Publication status	Published - 11 Nov 2020

Keywords

35A23
35J96
35N25
47J20
52A40
Overdetermined problems
domain derivative
domain functionals
duality results
generalized Monge–Ampére equations
p-Laplace equations

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1080/17476933.2020.1843447

Overdetermined problems for p-Laplace and generalized Monge–Ampére equationsAccepted author manuscript, 813 KBLicence: CC BY

Cite this

@article{159f33c2d3a6452fa8fee83b2b8b145d,

title = "Overdetermined problems for p-Laplace and generalized Monge–Amp{\'e}re equations",

abstract = "We investigate overdetermined problems for p-Laplace and generalized Monge–Amp{\'e}re equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.",

keywords = "35A23, 35J96, 35N25, 47J20, 52A40, Overdetermined problems, domain derivative, domain functionals, duality results, generalized Monge–Amp{\'e}re equations, p-Laplace equations",

author = "Behrouz Emamizadeh and Yichen Liu and Giovanni Porru",

note = "Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2020",

month = nov,

day = "11",

doi = "10.1080/17476933.2020.1843447",

language = "English",

volume = "67",

pages = "807--821",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

TY - JOUR

T1 - Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

AU - Emamizadeh, Behrouz

AU - Liu, Yichen

AU - Porru, Giovanni

PY - 2020/11/11

Y1 - 2020/11/11

N2 - We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.

AB - We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.

KW - 35A23

KW - 35J96

KW - 35N25

KW - 47J20

KW - 52A40

KW - Overdetermined problems

KW - domain derivative

KW - domain functionals

KW - duality results

KW - generalized Monge–Ampére equations

KW - p-Laplace equations

UR - http://www.scopus.com/inward/record.url?scp=85096136998&partnerID=8YFLogxK

U2 - 10.1080/17476933.2020.1843447

DO - 10.1080/17476933.2020.1843447

M3 - Article

AN - SCOPUS:85096136998

SN - 1747-6933

VL - 67

SP - 807

EP - 821

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 4

ER -

Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this