Relaxation for a degenerate functional with linear growth in the onedimensional case
Analysis of PDEs
2024-12-10 v1
Abstract
In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight that does not exhibit doubling or Muckenhoupt-type conditions. In order to obtain an explicit representation of the relaxed functional and its domain, our main tools for are Sobolev inequalities with double weight.
Cite
@article{arxiv.2412.05328,
title = {Relaxation for a degenerate functional with linear growth in the onedimensional case},
author = {Valeria Chiadò Piat and Virginia De Cicco and Anderson Melchor Hernandez},
journal= {arXiv preprint arXiv:2412.05328},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2404.02919