Existence of positive solutions for singular eigenvalue problems
In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/105/abstr.html |
| _version_ | 1818024404688306176 |
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| author | Meiqiang Feng Weigao Ge |
| author_facet | Meiqiang Feng Weigao Ge |
| author_sort | Meiqiang Feng |
| collection | DOAJ |
| description | In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter $lambda$. The arguments are based on the fixed point index theory and the upper and lower solutions method. |
| first_indexed | 2024-12-10T03:59:41Z |
| format | Article |
| id | doaj.art-1ff2736d7e4d42c09408cb7724912a32 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T03:59:41Z |
| publishDate | 2006-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-1ff2736d7e4d42c09408cb7724912a322022-12-22T02:03:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-01200610519Existence of positive solutions for singular eigenvalue problemsMeiqiang FengWeigao GeIn this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter $lambda$. The arguments are based on the fixed point index theory and the upper and lower solutions method.http://ejde.math.txstate.edu/Volumes/2006/105/abstr.htmlPositive solutionnonexistenceexistencecomplete continuitysingularity. |
| spellingShingle | Meiqiang Feng Weigao Ge Existence of positive solutions for singular eigenvalue problems Electronic Journal of Differential Equations Positive solution nonexistence existence complete continuity singularity. |
| title | Existence of positive solutions for singular eigenvalue problems |
| title_full | Existence of positive solutions for singular eigenvalue problems |
| title_fullStr | Existence of positive solutions for singular eigenvalue problems |
| title_full_unstemmed | Existence of positive solutions for singular eigenvalue problems |
| title_short | Existence of positive solutions for singular eigenvalue problems |
| title_sort | existence of positive solutions for singular eigenvalue problems |
| topic | Positive solution nonexistence existence complete continuity singularity. |
| url | http://ejde.math.txstate.edu/Volumes/2006/105/abstr.html |
| work_keys_str_mv | AT meiqiangfeng existenceofpositivesolutionsforsingulareigenvalueproblems AT weigaoge existenceofpositivesolutionsforsingulareigenvalueproblems |