中文

关于一维情况下线性增长退化函数的松弛

偏微分方程分析 2024-12-10 v1

摘要

本文研究了具有线性增长的退化函数的松弛问题,函数依赖于权重 ww,该权重不满足双倍或 Muckenhoupt 类型条件。为了获得松弛函数及其域的显式表示,我们的主要工具是带双重权重的 Sobolev 不等式。

关键词

引用

@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}
}

备注

arXiv admin note: substantial text overlap with arXiv:2404.02919