Positive solutions for generalized Hardy-Henon equations
This article concerns a generalized Hardy-Henon equation and its associated Dirichlet problem. We obtain upper and lower estimates for positive solutions, and establish the existence and nonexistence of positive solutions to both the equation and its associated Dirichlet problem under certain par...
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/50/abstr.html |
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| _version_ | 1849331448509628416 |
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| author | Xizheng Zhang Xiyou Cheng Meihua Yang |
| author_facet | Xizheng Zhang Xiyou Cheng Meihua Yang |
| author_sort | Xizheng Zhang |
| collection | DOAJ |
| description | This article concerns a generalized Hardy-Henon equation and its
associated Dirichlet problem.
We obtain upper and lower estimates for positive solutions, and establish
the existence and nonexistence of positive solutions to both the equation
and its associated Dirichlet problem under certain parametric conditions. |
| format | Article |
| id | doaj-art-e482676ddd254be091e2c5ac656a8c33 |
| institution | Kabale University |
| issn | 1072-6691 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj-art-e482676ddd254be091e2c5ac656a8c332025-08-20T03:46:36ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912025-05-01202550,111Positive solutions for generalized Hardy-Henon equationsXizheng Zhang0Xiyou Cheng1Meihua Yang2 Lanzhou Univ., Gansu, China Lanzhou Univ., Gansu, China Huazhong Univ. of Science and Tech., Wuhan, China This article concerns a generalized Hardy-Henon equation and its associated Dirichlet problem. We obtain upper and lower estimates for positive solutions, and establish the existence and nonexistence of positive solutions to both the equation and its associated Dirichlet problem under certain parametric conditions.http://ejde.math.txstate.edu/Volumes/2025/50/abstr.htmlhardy-henon equationsub-super solution methodmountain pass theoremsingularity |
| spellingShingle | Xizheng Zhang Xiyou Cheng Meihua Yang Positive solutions for generalized Hardy-Henon equations Electronic Journal of Differential Equations hardy-henon equation sub-super solution method mountain pass theorem singularity |
| title | Positive solutions for generalized Hardy-Henon equations |
| title_full | Positive solutions for generalized Hardy-Henon equations |
| title_fullStr | Positive solutions for generalized Hardy-Henon equations |
| title_full_unstemmed | Positive solutions for generalized Hardy-Henon equations |
| title_short | Positive solutions for generalized Hardy-Henon equations |
| title_sort | positive solutions for generalized hardy henon equations |
| topic | hardy-henon equation sub-super solution method mountain pass theorem singularity |
| url | http://ejde.math.txstate.edu/Volumes/2025/50/abstr.html |
| work_keys_str_mv | AT xizhengzhang positivesolutionsforgeneralizedhardyhenonequations AT xiyoucheng positivesolutionsforgeneralizedhardyhenonequations AT meihuayang positivesolutionsforgeneralizedhardyhenonequations |