Special Session 74: Recent Advances in Local and Non-local Elliptic PDEs

ANISOTROPIC p-LAPLACE EQUATIONS ON LONG CYLINDRICAL DOMAIN

Purbita Jana
Madras School of Economics
India
Co-Author(s):    
Abstract:
The main aim of this talk 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 expo- nential, thereby improving earlier known results for similar type of operators. Poincare inequality for pseudo p-Laplace operator on an infinite strip-like domain is also studied and the best constant, like many other situations in literature for other operators, is shown to be the same with the best Poincare constant of an analogous problem set on a lower dimension.