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

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Emamizadeh, Behrouz, Liu, Yichen and Porru, Giovanni (2020) Overdetermined problems for p-Laplace and generalized Monge–Ampére equations. Complex Variables and Elliptic Equations . pp. 1-15. ISSN 1747-6933

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Abstract

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

Item Type: Article
Additional Information: This is under GUPL
Keywords: Overdetermined problems; Domain derivative; Duality results; Do- main functionals; p-Laplace equations; Generalized Monge-Amp�ere equations.
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Mathematical Sciences
Identification Number: 10.1080/17476933.2020.1843447
Depositing User: QIU, Lulu
Date Deposited: 28 Dec 2020 08:23
Last Modified: 28 Dec 2020 08:23
URI: https://eprints.nottingham.ac.uk/id/eprint/64163

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