Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
We will study the following polyharmonic nonlinear elliptic equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m. Under appropriate conditions on the nonlinearity f(x,t), related to a class of functions called m-Green-tight functions, we give some existence results for the above equation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/76582 |
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| _version_ | 1832550248599257088 |
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| author | Habib Mâagli Malek Zribi |
| author_facet | Habib Mâagli Malek Zribi |
| author_sort | Habib Mâagli |
| collection | DOAJ |
| description | We will study the following polyharmonic nonlinear elliptic
equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m.
Under appropriate conditions on the nonlinearity f(x,t), related
to a class of functions called m-Green-tight functions, we give
some existence results for the above equation. |
| format | Article |
| id | doaj-art-f64ada72234a4dfd936aa4fd1ee56339 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f64ada72234a4dfd936aa4fd1ee563392025-02-03T06:07:25ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/7658276582Existence of positive solutions for some polyharmonic nonlinear equations in ℝnHabib Mâagli0Malek Zribi1Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, TunisiaDépartement de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, TunisiaWe will study the following polyharmonic nonlinear elliptic equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m. Under appropriate conditions on the nonlinearity f(x,t), related to a class of functions called m-Green-tight functions, we give some existence results for the above equation.http://dx.doi.org/10.1155/AAA/2006/76582 |
| spellingShingle | Habib Mâagli Malek Zribi Existence of positive solutions for some polyharmonic nonlinear equations in ℝn Abstract and Applied Analysis |
| title | Existence of positive solutions for some polyharmonic nonlinear equations in ℝn |
| title_full | Existence of positive solutions for some polyharmonic nonlinear equations in ℝn |
| title_fullStr | Existence of positive solutions for some polyharmonic nonlinear equations in ℝn |
| title_full_unstemmed | Existence of positive solutions for some polyharmonic nonlinear equations in ℝn |
| title_short | Existence of positive solutions for some polyharmonic nonlinear equations in ℝn |
| title_sort | existence of positive solutions for some polyharmonic nonlinear equations in rn |
| url | http://dx.doi.org/10.1155/AAA/2006/76582 |
| work_keys_str_mv | AT habibmaagli existenceofpositivesolutionsforsomepolyharmonicnonlinearequationsinrn AT malekzribi existenceofpositivesolutionsforsomepolyharmonicnonlinearequationsinrn |