Anisotropic p-Laplace Equations on long cylindrical domain
The main aim of this article is to study the Poisson type problem for anisotropic \(p\)-Laplace type equation on long cylindrical domains. The rate of convergence is shown to be exponential, thereby improving earlier known results for similar type of operators. The Poincaré inequality for a pseudo \...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2024-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol44/2/art/opuscula_math_4412.pdf |
| _version_ | 1797354594654748672 |
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| author | Purbita Jana |
| author_facet | Purbita Jana |
| author_sort | Purbita Jana |
| collection | DOAJ |
| description | The main aim of this article is to study the Poisson type problem for anisotropic \(p\)-Laplace type equation on long cylindrical domains. The rate of convergence is shown to be exponential, thereby improving earlier known results for similar type of operators. The Poincaré inequality for a pseudo \(p\)-Laplace operator on an infinite strip-like domain is also studied and the best constant, like in many other situations in literature for other operators, is shown to be the same with the best Poincaré constant of an analogous problem set on a lower dimension. |
| first_indexed | 2024-03-08T13:52:42Z |
| format | Article |
| id | doaj.art-e0b68e34e1ae4001b17659f58f25cb5f |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-03-08T13:52:42Z |
| publishDate | 2024-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-e0b68e34e1ae4001b17659f58f25cb5f2024-01-15T18:49:37ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742024-01-01442249265https://doi.org/10.7494/OpMath.2024.44.2.2494412Anisotropic p-Laplace Equations on long cylindrical domainPurbita Jana0https://orcid.org/0000-0002-2817-7735Madras School of Economics, 269Q+2CX, Gandhi Mandapam Road, Surya Nagar, Kotturpuram, Chennai, Tamil Nadu 600025, IndiaThe main aim of this article is to study the Poisson type problem for anisotropic \(p\)-Laplace type equation on long cylindrical domains. The rate of convergence is shown to be exponential, thereby improving earlier known results for similar type of operators. The Poincaré inequality for a pseudo \(p\)-Laplace operator on an infinite strip-like domain is also studied and the best constant, like in many other situations in literature for other operators, is shown to be the same with the best Poincaré constant of an analogous problem set on a lower dimension.https://www.opuscula.agh.edu.pl/vol44/2/art/opuscula_math_4412.pdfpseudo \(p\)-laplace equationcylindrical domainsasymptotic analysis |
| spellingShingle | Purbita Jana Anisotropic p-Laplace Equations on long cylindrical domain Opuscula Mathematica pseudo \(p\)-laplace equation cylindrical domains asymptotic analysis |
| title | Anisotropic p-Laplace Equations on long cylindrical domain |
| title_full | Anisotropic p-Laplace Equations on long cylindrical domain |
| title_fullStr | Anisotropic p-Laplace Equations on long cylindrical domain |
| title_full_unstemmed | Anisotropic p-Laplace Equations on long cylindrical domain |
| title_short | Anisotropic p-Laplace Equations on long cylindrical domain |
| title_sort | anisotropic p laplace equations on long cylindrical domain |
| topic | pseudo \(p\)-laplace equation cylindrical domains asymptotic analysis |
| url | https://www.opuscula.agh.edu.pl/vol44/2/art/opuscula_math_4412.pdf |
| work_keys_str_mv | AT purbitajana anisotropicplaplaceequationsonlongcylindricaldomain |