Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application
We prove Amann type three solutions theorem for one dimensional p-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consid...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/502756 |
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| _version_ | 1832554849721384960 |
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| author | Yong-Hoon Lee Seong-Uk Kim Eun Kyoung Lee |
| author_facet | Yong-Hoon Lee Seong-Uk Kim Eun Kyoung Lee |
| author_sort | Yong-Hoon Lee |
| collection | DOAJ |
| description | We prove Amann type three solutions theorem for one dimensional p-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an
exterior domain. |
| format | Article |
| id | doaj-art-8fdabf8c753747bb9ebca40080eee96a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8fdabf8c753747bb9ebca40080eee96a2025-02-03T05:50:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/502756502756Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its ApplicationYong-Hoon Lee0Seong-Uk Kim1Eun Kyoung Lee2Department of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294-1170, USADepartment of Mathematics Education, Pusan National University, Busan 609-735, Republic of KoreaWe prove Amann type three solutions theorem for one dimensional p-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.http://dx.doi.org/10.1155/2014/502756 |
| spellingShingle | Yong-Hoon Lee Seong-Uk Kim Eun Kyoung Lee Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application Abstract and Applied Analysis |
| title | Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application |
| title_full | Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application |
| title_fullStr | Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application |
| title_full_unstemmed | Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application |
| title_short | Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application |
| title_sort | three solutions theorem for p laplacian problems with a singular weight and its application |
| url | http://dx.doi.org/10.1155/2014/502756 |
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