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)

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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

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10.1080/17476933.2020.1843447

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

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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.",

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KW - 47J20

KW - 52A40

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KW - domain functionals

KW - duality results

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

Abstract

Keywords

ASJC Scopus subject areas

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