Combined Effects in Singular Elliptic Problems in Punctured Domain
The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we establish the existence of a positive continuo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6630457 |
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| _version_ | 1841524588376227840 |
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| author | Imed Bachar Habib Mâagli Hassan Eltayeb |
| author_facet | Imed Bachar Habib Mâagli Hassan Eltayeb |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we establish the existence of a positive continuous solution for the suggested problem. Global estimates on such solution, which could blow up at the origin, are also obtained. |
| format | Article |
| id | doaj-art-fe9e0fe0b9ec4f3490ba699d003bea5a |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fe9e0fe0b9ec4f3490ba699d003bea5a2025-02-03T05:52:58ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66304576630457Combined Effects in Singular Elliptic Problems in Punctured DomainImed Bachar0Habib Mâagli1Hassan Eltayeb2King Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi ArabiaKing Abdulaziz University, College of Sciences and Arts, Rabigh Campus, Department of Mathematics, P. O. Box 344, Rabigh 21911, Saudi ArabiaKing Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThe paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we establish the existence of a positive continuous solution for the suggested problem. Global estimates on such solution, which could blow up at the origin, are also obtained.http://dx.doi.org/10.1155/2021/6630457 |
| spellingShingle | Imed Bachar Habib Mâagli Hassan Eltayeb Combined Effects in Singular Elliptic Problems in Punctured Domain Journal of Function Spaces |
| title | Combined Effects in Singular Elliptic Problems in Punctured Domain |
| title_full | Combined Effects in Singular Elliptic Problems in Punctured Domain |
| title_fullStr | Combined Effects in Singular Elliptic Problems in Punctured Domain |
| title_full_unstemmed | Combined Effects in Singular Elliptic Problems in Punctured Domain |
| title_short | Combined Effects in Singular Elliptic Problems in Punctured Domain |
| title_sort | combined effects in singular elliptic problems in punctured domain |
| url | http://dx.doi.org/10.1155/2021/6630457 |
| work_keys_str_mv | AT imedbachar combinedeffectsinsingularellipticproblemsinpunctureddomain AT habibmaagli combinedeffectsinsingularellipticproblemsinpunctureddomain AT hassaneltayeb combinedeffectsinsingularellipticproblemsinpunctureddomain |