On Cauchy–Liouville-type theorems
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
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| Language: | English |
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De Gruyter
2017-08-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2017-0158 |
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doaj-bdca850fc8fd429db2fbb8d99fee8c242021-09-06T19:39:55ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2017-08-018172574210.1515/anona-2017-0158anona-2017-0158On Cauchy–Liouville-type theoremsAraya Ataklti0Mohammed Ahmed1Department of Mathematics, Mekelle University, Mekelle, EthiopiaDepartment of Mathematical Sciences, Ball State University, Muncie, IN 47306, USAIn this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.https://doi.org/10.1515/anona-2017-0158liouville-type theoremsorlicz–sobolev spaces35j60 35j62 35j70 35j75 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Araya Ataklti Mohammed Ahmed |
| spellingShingle |
Araya Ataklti Mohammed Ahmed On Cauchy–Liouville-type theorems Advances in Nonlinear Analysis liouville-type theorems orlicz–sobolev spaces 35j60 35j62 35j70 35j75 |
| author_facet |
Araya Ataklti Mohammed Ahmed |
| author_sort |
Araya Ataklti |
| title |
On Cauchy–Liouville-type theorems |
| title_short |
On Cauchy–Liouville-type theorems |
| title_full |
On Cauchy–Liouville-type theorems |
| title_fullStr |
On Cauchy–Liouville-type theorems |
| title_full_unstemmed |
On Cauchy–Liouville-type theorems |
| title_sort |
on cauchy–liouville-type theorems |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2017-08-01 |
| description |
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces.
Our results extend Liouville-type theorems that have been obtained recently. |
| topic |
liouville-type theorems orlicz–sobolev spaces 35j60 35j62 35j70 35j75 |
| url |
https://doi.org/10.1515/anona-2017-0158 |
| work_keys_str_mv |
AT arayaataklti oncauchyliouvilletypetheorems AT mohammedahmed oncauchyliouvilletypetheorems |
| _version_ |
1717769824631783424 |