Anisotropic p-Laplace Equations on long cylindrical domain

• Autorzy: Jana Purbita

Identyfikatory

DOI

10.7494/OpMath.2024.44.2.249

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo p-Laplace equation; cylindrical domain; asymptotic analysis

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 2
• Strony: 249--265
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Jana Purbita

• Madras School of Economics, 269Q+2CX, Gandhi Mandapam Road, Surya Nagar, Kotturpuram, Chennai, Tamil Nadu 600025, India

• https://orcid.org/0000-0002-2817-7735

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)