Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of ℝn
This paper deals with a class of nonlinear elliptic equations in an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some appropriate conditions related to a certain Kato class K∞(D). Our purpose is to give some existence results and asymptotic beha...
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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/2006/24307 |
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| _version_ | 1832556834567749632 |
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| author | Noureddine Zeddini |
| author_facet | Noureddine Zeddini |
| author_sort | Noureddine Zeddini |
| collection | DOAJ |
| description | This paper deals with a class of nonlinear elliptic equations in
an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some
appropriate conditions related to a certain Kato class
K∞(D). Our purpose is to give some existence results and
asymptotic behaviour for positive solutions by using the Green
function approach and the Schauder fixed point theorem. |
| format | Article |
| id | doaj-art-93f0c913c63a480ca3eb5ed014f16215 |
| 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-93f0c913c63a480ca3eb5ed014f162152025-02-03T05:44:16ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/2430724307Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of ℝnNoureddine Zeddini0Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, TunisiaThis paper deals with a class of nonlinear elliptic equations in an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some appropriate conditions related to a certain Kato class K∞(D). Our purpose is to give some existence results and asymptotic behaviour for positive solutions by using the Green function approach and the Schauder fixed point theorem.http://dx.doi.org/10.1155/AAA/2006/24307 |
| spellingShingle | Noureddine Zeddini Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of ℝn Abstract and Applied Analysis |
| title | Existence of positive solutions for some nonlinear
elliptic problems in unbounded domains of ℝn |
| title_full | Existence of positive solutions for some nonlinear
elliptic problems in unbounded domains of ℝn |
| title_fullStr | Existence of positive solutions for some nonlinear
elliptic problems in unbounded domains of ℝn |
| title_full_unstemmed | Existence of positive solutions for some nonlinear
elliptic problems in unbounded domains of ℝn |
| title_short | Existence of positive solutions for some nonlinear
elliptic problems in unbounded domains of ℝn |
| title_sort | existence of positive solutions for some nonlinear elliptic problems in unbounded domains of rn |
| url | http://dx.doi.org/10.1155/AAA/2006/24307 |
| work_keys_str_mv | AT noureddinezeddini existenceofpositivesolutionsforsomenonlinearellipticproblemsinunboundeddomainsofrn |