Positive solutions for a class of singular (p, q)-equations
We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u). By using a topological approach, based on the Leray-Schauder alternative pri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-04-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0300 |
| _version_ | 1797832490767876096 |
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| author | Leonardi Salvatore Papageorgiou Nikolaos S. |
| author_facet | Leonardi Salvatore Papageorgiou Nikolaos S. |
| author_sort | Leonardi Salvatore |
| collection | DOAJ |
| description | We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u). By using a topological approach, based on the Leray-Schauder alternative principle, we show the existence of a smooth positive solution. |
| first_indexed | 2024-04-09T14:08:43Z |
| format | Article |
| id | doaj.art-5cb943339d554b07822569faa0e7dc35 |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-04-09T14:08:43Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-5cb943339d554b07822569faa0e7dc352023-05-06T15:50:46ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2023-04-0112162070910.1515/anona-2022-0300Positive solutions for a class of singular (p, q)-equationsLeonardi Salvatore0Papageorgiou Nikolaos S.1Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria, 6 – 95125, Catania, ItalyDepartment of Mathematics, Technical University, Zorografou Campus, Athens 15780, GreeceWe consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u). By using a topological approach, based on the Leray-Schauder alternative principle, we show the existence of a smooth positive solution.https://doi.org/10.1515/anona-2022-0300topological approachfixed pointregularity theorypurely singular problemtruncation35j2035j75 |
| spellingShingle | Leonardi Salvatore Papageorgiou Nikolaos S. Positive solutions for a class of singular (p, q)-equations Advances in Nonlinear Analysis topological approach fixed point regularity theory purely singular problem truncation 35j20 35j75 |
| title | Positive solutions for a class of singular (p, q)-equations |
| title_full | Positive solutions for a class of singular (p, q)-equations |
| title_fullStr | Positive solutions for a class of singular (p, q)-equations |
| title_full_unstemmed | Positive solutions for a class of singular (p, q)-equations |
| title_short | Positive solutions for a class of singular (p, q)-equations |
| title_sort | positive solutions for a class of singular p q equations |
| topic | topological approach fixed point regularity theory purely singular problem truncation 35j20 35j75 |
| url | https://doi.org/10.1515/anona-2022-0300 |
| work_keys_str_mv | AT leonardisalvatore positivesolutionsforaclassofsingularpqequations AT papageorgiounikolaoss positivesolutionsforaclassofsingularpqequations |