Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup>
We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation $Delta u+f(.,u)=0$, in the domain $D={(x_1,x_2)in mathbb{R}^2:x_2>0}$, with $u=0$ on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2002-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/41/abstr.html |
| _version_ | 1818361252150247424 |
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| author | Imed Bachar Habib Maagli Lamia Maatoug |
| author_facet | Imed Bachar Habib Maagli Lamia Maatoug |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | We study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation $Delta u+f(.,u)=0$, in the domain $D={(x_1,x_2)in mathbb{R}^2:x_2>0}$, with $u=0$ on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a fixed-point argument. |
| first_indexed | 2024-12-13T21:13:44Z |
| format | Article |
| id | doaj.art-e1f3b1bf54824be6ba64e0a32b19403d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-13T21:13:44Z |
| publishDate | 2002-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e1f3b1bf54824be6ba64e0a32b19403d2022-12-21T23:31:17ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-05-01200241124Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup>Imed BacharHabib MaagliLamia MaatougWe study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation $Delta u+f(.,u)=0$, in the domain $D={(x_1,x_2)in mathbb{R}^2:x_2>0}$, with $u=0$ on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a fixed-point argument.http://ejde.math.txstate.edu/Volumes/2002/41/abstr.htmlSingular elliptic equationsuperharmonic functionGreen functionSchauder fixed point theoremmaximun principle. |
| spellingShingle | Imed Bachar Habib Maagli Lamia Maatoug Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> Electronic Journal of Differential Equations Singular elliptic equation superharmonic function Green function Schauder fixed point theorem maximun principle. |
| title | Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> |
| title_full | Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> |
| title_fullStr | Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> |
| title_full_unstemmed | Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> |
| title_short | Positive solutions of nonlinear elliptic equations in a half space in R<sup><small>2</small></sup> |
| title_sort | positive solutions of nonlinear elliptic equations in a half space in r sup small 2 small sup |
| topic | Singular elliptic equation superharmonic function Green function Schauder fixed point theorem maximun principle. |
| url | http://ejde.math.txstate.edu/Volumes/2002/41/abstr.html |
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