On the existence of bounded solutions of nonlinear elliptic systems
We study the existence of bounded solutions to the elliptic system −Δpu=f(u,v)+h1 in Ω, −Δqv=g(u,v)+h2 in Ω, u=v=0 on ∂Ω, non-necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202010293 |
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| _version_ | 1832561681897619456 |
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| author | Abdelaziz Ahammou |
| author_facet | Abdelaziz Ahammou |
| author_sort | Abdelaziz Ahammou |
| collection | DOAJ |
| description | We study the existence of bounded solutions to the elliptic system −Δpu=f(u,v)+h1 in Ω, −Δqv=g(u,v)+h2 in Ω, u=v=0 on ∂Ω,
non-necessarily potential systems. The method used is a shooting
technique. We are concerned with the existence of a negative
subsolution and a nonnegative supersolution in the sense of
Hernandez; then we construct some compact operator T and some
invariant set K where we can use the Leray Schauder's theorem. |
| format | Article |
| id | doaj-art-046e6e49a47c48b295f5fa0652b17c5b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-046e6e49a47c48b295f5fa0652b17c5b2025-02-03T01:24:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130847949010.1155/S0161171202010293On the existence of bounded solutions of nonlinear elliptic systemsAbdelaziz Ahammou0Département des Mathématiques et Informatique, Faculté des Sciences, Université Chouaib Doukkali, BP 20, El Jadida 24000, MoroccoWe study the existence of bounded solutions to the elliptic system −Δpu=f(u,v)+h1 in Ω, −Δqv=g(u,v)+h2 in Ω, u=v=0 on ∂Ω, non-necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct some compact operator T and some invariant set K where we can use the Leray Schauder's theorem.http://dx.doi.org/10.1155/S0161171202010293 |
| spellingShingle | Abdelaziz Ahammou On the existence of bounded solutions of nonlinear elliptic systems International Journal of Mathematics and Mathematical Sciences |
| title | On the existence of bounded solutions of nonlinear elliptic systems |
| title_full | On the existence of bounded solutions of nonlinear elliptic systems |
| title_fullStr | On the existence of bounded solutions of nonlinear elliptic systems |
| title_full_unstemmed | On the existence of bounded solutions of nonlinear elliptic systems |
| title_short | On the existence of bounded solutions of nonlinear elliptic systems |
| title_sort | on the existence of bounded solutions of nonlinear elliptic systems |
| url | http://dx.doi.org/10.1155/S0161171202010293 |
| work_keys_str_mv | AT abdelazizahammou ontheexistenceofboundedsolutionsofnonlinearellipticsystems |