A generalized p-Laplacian problem with parameters
In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open. Problems involving a critical point are indeed interesting and relevant, especially challenging....
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-05-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2025-0135 |
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| author | Zuo Jiabin Heidarkhani Shapour Moradi Shahin Sousa José Vanterler da Costa |
| author_facet | Zuo Jiabin Heidarkhani Shapour Moradi Shahin Sousa José Vanterler da Costa |
| author_sort | Zuo Jiabin |
| collection | DOAJ |
| description | In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open. Problems involving a critical point are indeed interesting and relevant, especially challenging. Motivated by such questions, in this article, we are interested, through a critical point theorem, to investigate the existence of at least three distinct weak solutions for a generalized pp-Laplacian problem with parameters under appropriate hypotheses, applicable in physics, for instance, in fluid mechanics, and in Newtonian fluids. In this sense, as a direct consequence of the main result, we finish the work with two other results of weak solutions. |
| format | Article |
| id | doaj-art-6ef6ea7797754c21bdbf4e431bc8b886 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-6ef6ea7797754c21bdbf4e431bc8b8862025-08-20T03:55:03ZengDe GruyterDemonstratio Mathematica2391-46612025-05-0158162363610.1515/dema-2025-0135A generalized p-Laplacian problem with parametersZuo Jiabin0Heidarkhani Shapour1Moradi Shahin2Sousa José Vanterler da Costa3School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, ChinaDepartment of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, IranDepartment of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, IranDepartment of Mathematics, DEMATI-UEMAm São Luís, MA 65054, BrazilIn recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open. Problems involving a critical point are indeed interesting and relevant, especially challenging. Motivated by such questions, in this article, we are interested, through a critical point theorem, to investigate the existence of at least three distinct weak solutions for a generalized pp-Laplacian problem with parameters under appropriate hypotheses, applicable in physics, for instance, in fluid mechanics, and in Newtonian fluids. In this sense, as a direct consequence of the main result, we finish the work with two other results of weak solutions.https://doi.org/10.1515/dema-2025-0135three solutionsp-laplacian typecritical pointvariational methods35j2535j62 |
| spellingShingle | Zuo Jiabin Heidarkhani Shapour Moradi Shahin Sousa José Vanterler da Costa A generalized p-Laplacian problem with parameters Demonstratio Mathematica three solutions p-laplacian type critical point variational methods 35j25 35j62 |
| title | A generalized p-Laplacian problem with parameters |
| title_full | A generalized p-Laplacian problem with parameters |
| title_fullStr | A generalized p-Laplacian problem with parameters |
| title_full_unstemmed | A generalized p-Laplacian problem with parameters |
| title_short | A generalized p-Laplacian problem with parameters |
| title_sort | generalized p laplacian problem with parameters |
| topic | three solutions p-laplacian type critical point variational methods 35j25 35j62 |
| url | https://doi.org/10.1515/dema-2025-0135 |
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