Overdetermined problems for p-Laplace and generalized Monge–Ampére equations
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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/64163/ |
| _version_ | 1848800095945883648 |
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| author | Emamizadeh, Behrouz Liu, Yichen Porru, Giovanni |
| author_facet | Emamizadeh, Behrouz Liu, Yichen Porru, Giovanni |
| author_sort | Emamizadeh, Behrouz |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:46:07Z |
| format | Article |
| id | nottingham-64163 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:46:07Z |
| publishDate | 2020 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-641632020-12-28T08:23:37Z https://eprints.nottingham.ac.uk/64163/ Overdetermined problems for p-Laplace and generalized Monge–Ampére equations Emamizadeh, Behrouz Liu, Yichen Porru, Giovanni 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. 2020-11-11 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/64163/1/ilovepdf_merged.pdf 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 Overdetermined problems; Domain derivative; Duality results; Do- main functionals; p-Laplace equations; Generalized Monge-Amp�ere equations. http://dx.doi.org/10.1080/17476933.2020.1843447 doi:10.1080/17476933.2020.1843447 doi:10.1080/17476933.2020.1843447 |
| spellingShingle | Overdetermined problems; Domain derivative; Duality results; Do- main functionals; p-Laplace equations; Generalized Monge-Amp�ere equations. Emamizadeh, Behrouz Liu, Yichen Porru, Giovanni Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title | Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title_full | Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title_fullStr | Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title_full_unstemmed | Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title_short | Overdetermined problems for p-Laplace and generalized Monge–Ampére equations |
| title_sort | overdetermined problems for p-laplace and generalized monge–ampére equations |
| topic | Overdetermined problems; Domain derivative; Duality results; Do- main functionals; p-Laplace equations; Generalized Monge-Amp�ere equations. |
| url | https://eprints.nottingham.ac.uk/64163/ https://eprints.nottingham.ac.uk/64163/ https://eprints.nottingham.ac.uk/64163/ |