关于具 (p,q)-增长泛函的全局 Lavrentiev 间隙缺失
偏微分方程分析
2023-06-02 v3
摘要
本预印本现已被 arXiv:2305.19934 取代，将不予发表。我们证明，对于具 (p,q)-增长的凸向量值泛函，当 (p,q) 受到适当限制时，Lavrentiev 现象在直至边界处均不发生。在对区域与边界数据正则性作最小假设下，我们在自然、受控及受控对偶增长界下，分别得到了自治与非自治泛函的结果。
引用
@article{arxiv.2210.15454,
title = {On global absence of Lavrentiev gap for functionals with (p,q)-growth},
author = {Lukas Koch},
journal= {arXiv preprint arXiv:2210.15454},
year = {2023}
}
备注
This pre-print has been superseded by arXiv:2305.19934. v3. Corrected the proof of Lemma 7, this requires stronger assumptions on the domain