Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type
The article investigates a Poisson-type problem for operators that are finite sum of pseudo \(p\)-Laplace-type operators within long cylindrical domains. It establishes that the rate of convergence is exponential, which is considered optimal. In addition, the study analyzes the asymptotic behavior o...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2025-07-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol45/4/art/opuscula_math_4523.pdf |
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| _version_ | 1849318409912713216 |
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| author | Purbita Jana |
| author_facet | Purbita Jana |
| author_sort | Purbita Jana |
| collection | DOAJ |
| description | The article investigates a Poisson-type problem for operators that are finite sum of pseudo \(p\)-Laplace-type operators within long cylindrical domains. It establishes that the rate of convergence is exponential, which is considered optimal. In addition, the study analyzes the asymptotic behavior of the related energy functional. This research contributes to a deeper understanding of the mathematical properties and asymptotic analysis of solutions in this context. |
| format | Article |
| id | doaj-art-adb036099b1944f8bea511aff64362d4 |
| institution | Kabale University |
| issn | 1232-9274 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj-art-adb036099b1944f8bea511aff64362d42025-08-20T03:50:49ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742025-07-01454509521https://doi.org/10.7494/OpMath.2025.45.4.5094523Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace typePurbita Jana0https://orcid.org/0000-0002-2817-7735Madras School of Economics, 269Q+2CX, Gandhi Mandapam Road, Surya Nagar, Kotturpuram, Chennai, Tamil Nadu 600025, IndiaThe article investigates a Poisson-type problem for operators that are finite sum of pseudo \(p\)-Laplace-type operators within long cylindrical domains. It establishes that the rate of convergence is exponential, which is considered optimal. In addition, the study analyzes the asymptotic behavior of the related energy functional. This research contributes to a deeper understanding of the mathematical properties and asymptotic analysis of solutions in this context.https://www.opuscula.agh.edu.pl/vol45/4/art/opuscula_math_4523.pdfpseudo \(p\)-laplace equationcylindrical domainsasymptotic analysis |
| spellingShingle | Purbita Jana Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type Opuscula Mathematica pseudo \(p\)-laplace equation cylindrical domains asymptotic analysis |
| title | Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type |
| title_full | Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type |
| title_fullStr | Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type |
| title_full_unstemmed | Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type |
| title_short | Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type |
| title_sort | asymptotic behavior of the solutions of operators that are sum of pseudo p laplace type |
| topic | pseudo \(p\)-laplace equation cylindrical domains asymptotic analysis |
| url | https://www.opuscula.agh.edu.pl/vol45/4/art/opuscula_math_4523.pdf |
| work_keys_str_mv | AT purbitajana asymptoticbehaviorofthesolutionsofoperatorsthataresumofpseudoplaplacetype |