Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations
This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin–We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-11-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2015-0127 |
| _version_ | 1818581860896210944 |
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| author | Barbu Luminita Enache Cristian |
| author_facet | Barbu Luminita Enache Cristian |
| author_sort | Barbu Luminita |
| collection | DOAJ |
| description | This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne
(see the book of Sperb [18]).
These maximum principles are then employed to obtain a Liouville-type result and a Serrin–Weinberger-type symmetry result. |
| first_indexed | 2024-12-16T07:40:13Z |
| format | Article |
| id | doaj.art-f78150d4497a4f67b7b2be1f0ba9f079 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-16T07:40:13Z |
| publishDate | 2016-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-f78150d4497a4f67b7b2be1f0ba9f0792022-12-21T22:39:06ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2016-11-015439540510.1515/anona-2015-0127Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equationsBarbu Luminita0Enache Cristian1Department of Mathematics, Ovidius University, Constanta 900 527, Romania“Simion Stoilow” Institute of Mathematics of the Romanian Academy, 010702 Bucharest, RomaniaThis paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin–Weinberger-type symmetry result.https://doi.org/10.1515/anona-2015-0127maximum principlesanisotropic equationsliouville theoremssymmetrywulff shapes35b50 35j25 35p15 70h25 |
| spellingShingle | Barbu Luminita Enache Cristian Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations Advances in Nonlinear Analysis maximum principles anisotropic equations liouville theorems symmetry wulff shapes 35b50 35j25 35p15 70h25 |
| title | Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| title_full | Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| title_fullStr | Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| title_full_unstemmed | Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| title_short | Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| title_sort | maximum principles liouville type theorems and symmetry results for a general class of quasilinear anisotropic equations |
| topic | maximum principles anisotropic equations liouville theorems symmetry wulff shapes 35b50 35j25 35p15 70h25 |
| url | https://doi.org/10.1515/anona-2015-0127 |
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