Finite element discretization of weighted $\Phi$-Laplace problems
Numerical Analysis
2025-08-15 v2 Numerical Analysis
Abstract
We study the finite element approximation of problems involving the weighted -Laplacian, where is an -function and the weight belongs to the class . In particular, we consider a boundary value problem and an obstacle problem and derive error estimates in both cases. The analysis is based on the language of weighted Orlicz and weighted Orlicz--Sobolev spaces.
Cite
@article{arxiv.2412.10327,
title = {Finite element discretization of weighted $\Phi$-Laplace problems},
author = {Enrique Otarola and Abner J. Salgado},
journal= {arXiv preprint arXiv:2412.10327},
year = {2025}
}