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arXiv · 2412.10327

Finite element discretization of weighted $Φ$-Laplace problems

Enrique Otarola·Abner J. Salgado
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Abstract

We study the finite element approximation of problems involving the weighted $Φ$-Laplacian, where $Φ$ is an $N$-function and the weight belongs to the class $A_Φ$. 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.

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Enrique Otarola, Abner J. Salgado. 2025-08-13. Finite element discretization of weighted $Φ$-Laplace problems. https://arxiv.org/abs/2412.10327

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