Regularizing effect in singular semilinear problems
We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of is a nonnegative function in L1(Ω) and g(x,s) is a Carathéodory function. In a framework where no solution is expe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2023-10-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://jau.vgtu.lt/index.php/MMA/article/view/18616 |
| _version_ | 1797654202024984576 |
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| author | José Carmona Antonio J. Martínez Aparicio Pedro J. Martínez-Aparicio Miguel Martínez-Teruel |
| author_facet | José Carmona Antonio J. Martínez Aparicio Pedro J. Martínez-Aparicio Miguel Martínez-Teruel |
| author_sort | José Carmona |
| collection | DOAJ |
| description |
We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of is a nonnegative function in L1(Ω) and g(x,s) is a Carathéodory function. In a framework where no solution is expected, we prove its existence (regularizing effect) whenever the datum f interacts conveniently either with the boundary of the domain or with the lower order term.
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| first_indexed | 2024-03-11T16:56:00Z |
| format | Article |
| id | doaj.art-197ce4fc122c40e8a54f5dd18f59035b |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-03-11T16:56:00Z |
| publishDate | 2023-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-197ce4fc122c40e8a54f5dd18f59035b2023-10-20T15:21:31ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102023-10-0128410.3846/mma.2023.18616Regularizing effect in singular semilinear problemsJosé Carmona0Antonio J. Martínez Aparicio1Pedro J. Martínez-Aparicio2Miguel Martínez-Teruel3Departamento de Matemáticas, Universidad de Almería, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120 Almería, SpainDepartamento de Matemáticas, Universidad de Almería, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120 Almería, SpainDepartamento de Matemáticas, Universidad de Almería, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120 Almería, SpainDepartamento de Análisis Matemático, Universidad de Granada, Avda. Fuentenueva s/n, Granada, 18071 Granada, Spain We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of is a nonnegative function in L1(Ω) and g(x,s) is a Carathéodory function. In a framework where no solution is expected, we prove its existence (regularizing effect) whenever the datum f interacts conveniently either with the boundary of the domain or with the lower order term. https://jau.vgtu.lt/index.php/MMA/article/view/18616nonlinear elliptic equationssingular problemregularizing effect |
| spellingShingle | José Carmona Antonio J. Martínez Aparicio Pedro J. Martínez-Aparicio Miguel Martínez-Teruel Regularizing effect in singular semilinear problems Mathematical Modelling and Analysis nonlinear elliptic equations singular problem regularizing effect |
| title | Regularizing effect in singular semilinear problems |
| title_full | Regularizing effect in singular semilinear problems |
| title_fullStr | Regularizing effect in singular semilinear problems |
| title_full_unstemmed | Regularizing effect in singular semilinear problems |
| title_short | Regularizing effect in singular semilinear problems |
| title_sort | regularizing effect in singular semilinear problems |
| topic | nonlinear elliptic equations singular problem regularizing effect |
| url | https://jau.vgtu.lt/index.php/MMA/article/view/18616 |
| work_keys_str_mv | AT josecarmona regularizingeffectinsingularsemilinearproblems AT antoniojmartinezaparicio regularizingeffectinsingularsemilinearproblems AT pedrojmartinezaparicio regularizingeffectinsingularsemilinearproblems AT miguelmartinezteruel regularizingeffectinsingularsemilinearproblems |