Existence of nonnegative solutions for singular elliptic problems
Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
| Main Authors: | , |
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| Other Authors: | |
| Format: | info:eu-repo/semantics/publishedVersion |
| Language: | eng |
| Published: |
2023
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| Online Access: | https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf http://hdl.handle.net/11086/548455 |
| _version_ | 1801212172760514560 |
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| author | Godoy, Tomás Fernando Guerín, Alfredo José |
| author2 | https://orcid.org/0000-0002-8804-9137 |
| author_facet | https://orcid.org/0000-0002-8804-9137 Godoy, Tomás Fernando Guerín, Alfredo José |
| author_sort | Godoy, Tomás Fernando |
| collection | Repositorio Digital Universitario |
| description | Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. |
| format | info:eu-repo/semantics/publishedVersion |
| id | rdu-unc.548455 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2023 |
| record_format | dspace |
| spelling | rdu-unc.5484552023-08-31T13:16:48Z Existence of nonnegative solutions for singular elliptic problems Godoy, Tomás Fernando Guerín, Alfredo José https://orcid.org/0000-0002-8804-9137 Singular elliptic problem Variational problems Nonnegative solution Positive solution Sub-supersolution info:eu-repo/semantics/publishedVersion Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Guerín, Alfredo José. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. We prove the existence of nonnegative nontrivial weak solutions to the problem −∆u = au−αχ{u>0} − bup in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in Rn. A sufficient condition for the existence of a continuous and strictly positive weak solution is also given, and the uniqueness of such a solution is proved. We also prove a maximality property for solutions that are positive a.e. in Ω. http://ejde.math.txstate.edu info:eu-repo/semantics/publishedVersion Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Guerín, Alfredo José. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Matemática Pura 2023-08-15T12:03:13Z 2023-08-15T12:03:13Z 2016 article https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf http://hdl.handle.net/11086/548455 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ Electrónico y/o Digital ISSN 1072-6691 |
| spellingShingle | Singular elliptic problem Variational problems Nonnegative solution Positive solution Sub-supersolution Godoy, Tomás Fernando Guerín, Alfredo José Existence of nonnegative solutions for singular elliptic problems |
| title | Existence of nonnegative solutions for singular elliptic problems |
| title_full | Existence of nonnegative solutions for singular elliptic problems |
| title_fullStr | Existence of nonnegative solutions for singular elliptic problems |
| title_full_unstemmed | Existence of nonnegative solutions for singular elliptic problems |
| title_short | Existence of nonnegative solutions for singular elliptic problems |
| title_sort | existence of nonnegative solutions for singular elliptic problems |
| topic | Singular elliptic problem Variational problems Nonnegative solution Positive solution Sub-supersolution |
| url | https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf http://hdl.handle.net/11086/548455 |
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