Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions
In this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions. The main methods used are the integral estimates and the monotonicity formula.
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De Gruyter
2016-12-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2016-0168 |
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doaj-0952737dc6774959a00212466affdc812021-09-06T19:39:55ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2016-12-018119320210.1515/anona-2016-0168anona-2016-0168Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditionsHarrabi Abdellaziz0Rahal Belgacem1Institut Supérieur des Mathématiques Appliquées et de l’Informatique de Kairouan, Université de Kairouan, Kairouan, TunisiaFaculté des Sciences, Département de Mathématiques, B.P 1171Sfax3000,Université de Sfax, TunisiaIn this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions. The main methods used are the integral estimates and the monotonicity formula.https://doi.org/10.1515/anona-2016-0168liouville theoremstable solutionsnonlinear boundary value conditionstability outside a compact setmonotonicity formula35j55 35j65 35b33 35b65. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Harrabi Abdellaziz Rahal Belgacem |
| spellingShingle |
Harrabi Abdellaziz Rahal Belgacem Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions Advances in Nonlinear Analysis liouville theorem stable solutions nonlinear boundary value condition stability outside a compact set monotonicity formula 35j55 35j65 35b33 35b65. |
| author_facet |
Harrabi Abdellaziz Rahal Belgacem |
| author_sort |
Harrabi Abdellaziz |
| title |
Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| title_short |
Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| title_full |
Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| title_fullStr |
Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| title_full_unstemmed |
Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| title_sort |
liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2016-12-01 |
| description |
In this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions.
The main methods used are the integral estimates and the monotonicity formula. |
| topic |
liouville theorem stable solutions nonlinear boundary value condition stability outside a compact set monotonicity formula 35j55 35j65 35b33 35b65. |
| url |
https://doi.org/10.1515/anona-2016-0168 |
| work_keys_str_mv |
AT harrabiabdellaziz liouvilletypetheoremsforellipticequationsinhalfspacewithmixedboundaryvalueconditions AT rahalbelgacem liouvilletypetheoremsforellipticequationsinhalfspacewithmixedboundaryvalueconditions |
| _version_ |
1717769746691129344 |