Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain
This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach space. Furthermore, we utilize Rus’ theorem in...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/5/474 |
| _version_ | 1797601135249326080 |
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| author | Xiaoming Wang Jehad Alzabut Mahammad Khuddush Michal Fečkan |
| author_facet | Xiaoming Wang Jehad Alzabut Mahammad Khuddush Michal Fečkan |
| author_sort | Xiaoming Wang |
| collection | DOAJ |
| description | This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach space. Furthermore, we utilize Rus’ theorem in a metric space, to prove the uniqueness of solutions for the problem. Examples are constructed for the sake of verification. |
| first_indexed | 2024-03-11T03:57:09Z |
| format | Article |
| id | doaj.art-dd363003108f4a04a3ab8af640a8fa61 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T03:57:09Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-dd363003108f4a04a3ab8af640a8fa612023-11-18T00:27:47ZengMDPI AGAxioms2075-16802023-05-0112547410.3390/axioms12050474Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior DomainXiaoming Wang0Jehad Alzabut1Mahammad Khuddush2Michal Fečkan3School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, ChinaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Visakhapatnam 530013, Andhra Pradesh, IndiaDepartment of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 842 48 Bratislava, SlovakiaThis work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach space. Furthermore, we utilize Rus’ theorem in a metric space, to prove the uniqueness of solutions for the problem. Examples are constructed for the sake of verification.https://www.mdpi.com/2075-1680/12/5/474iterative classelliptic equationsexterior domainradial solutionsBanach spacecomplete metric space |
| spellingShingle | Xiaoming Wang Jehad Alzabut Mahammad Khuddush Michal Fečkan Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain Axioms iterative class elliptic equations exterior domain radial solutions Banach space complete metric space |
| title | Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain |
| title_full | Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain |
| title_fullStr | Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain |
| title_full_unstemmed | Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain |
| title_short | Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain |
| title_sort | solvability of iterative classes of nonlinear elliptic equations on an exterior domain |
| topic | iterative class elliptic equations exterior domain radial solutions Banach space complete metric space |
| url | https://www.mdpi.com/2075-1680/12/5/474 |
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