TY  - JOUR
ID  - Jana2024
LB  - Jana2024
AU  - Jana, Purbita
TI  - Anisotropic p-Laplace Equations on long cylindrical domain
ST  - Anisotropic p-Laplace Equations on long cylindrical domain
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2024
VL  - 44
IS  - 2
SP  - 249
EP  - 265
DO  - https://doi.org/10.7494/OpMath.2024.44.2.249
UR  - https://doi.org/10.7494/OpMath.2024.44.2.249
AB  - 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.
KW  - pseudo \(p\)-Laplace equation
KW  - cylindrical domains
KW  - asymptotic analysis
SN  - 1232-9274
ER  -