Finite element discretization of weighted p-Laplace problems

Autor:	Otarola, Enrique, Salgado, Abner J.
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	We study the finite element approximation of problems involving the weighted $p$-Laplacian for $p \in (1,\infty)$ and weights belonging to the Muckenhoupt class $A_1$. In particular, we consider an equation and an obstacle problem for the weighted $p$-Laplacian and derive error estimates in both cases. The analysis is based on the language of weighted Orlicz and Orlicz--Sobolev spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.10327 Zobrazit plný text záznamu View this record from Arxiv