Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group
We establish nonexistence results to systems of differential inequalities on the (2N+1)-Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1≤i≤m. Our results improve the known estimates of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533750430802X |
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| _version_ | 1832560300585385984 |
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| author | Abdallah El Hamidi Mokhtar Kirane |
| author_facet | Abdallah El Hamidi Mokhtar Kirane |
| author_sort | Abdallah El Hamidi |
| collection | DOAJ |
| description | We establish nonexistence results to systems of differential inequalities on the (2N+1)-Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1≤i≤m. Our results improve the known estimates of the critical exponent. |
| format | Article |
| id | doaj-art-203f2ce828d743ccb6f087834648ff5b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-203f2ce828d743ccb6f087834648ff5b2025-02-03T01:27:53ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004215516410.1155/S108533750430802XNonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg groupAbdallah El Hamidi0Mokhtar Kirane1Laboratoire de Mathématiques, Université de La Rochelle, avenue Michel Crépeau, La Rochelle Cedex 9 17000, FranceLaboratoire de Mathématiques, Université de La Rochelle, avenue Michel Crépeau, La Rochelle Cedex 9 17000, FranceWe establish nonexistence results to systems of differential inequalities on the (2N+1)-Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1≤i≤m. Our results improve the known estimates of the critical exponent.http://dx.doi.org/10.1155/S108533750430802X |
| spellingShingle | Abdallah El Hamidi Mokhtar Kirane Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group Abstract and Applied Analysis |
| title | Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group |
| title_full | Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group |
| title_fullStr | Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group |
| title_full_unstemmed | Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group |
| title_short | Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group |
| title_sort | nonexistence results of solutions to systems of semilinear differential inequalities on the heisenberg group |
| url | http://dx.doi.org/10.1155/S108533750430802X |
| work_keys_str_mv | AT abdallahelhamidi nonexistenceresultsofsolutionstosystemsofsemilineardifferentialinequalitiesontheheisenberggroup AT mokhtarkirane nonexistenceresultsofsolutionstosystemsofsemilineardifferentialinequalitiesontheheisenberggroup |