次序椭圆方程在局部可积下阶系数下的全局Hölder可解性
偏微分方程分析
2025-05-27 v2
摘要
我们证明了关于具有次序项的某些椭圆偏微分方程的全局Hölder连续解的存在性。该结果适用于由边界距离的负次数控制的系数，显著改进了Gilbarg和Trudinger (1983)中的第8.30定理。该证明通过应用Ancona (1986)的策略到新的Morrey型空间中得出。
引用
@article{arxiv.2403.01104,
title = {Global H\"{o}lder solvability of second order elliptic equations with locally integrable lower-order coefficients},
author = {Takanobu Hara},
journal= {arXiv preprint arXiv:2403.01104},
year = {2025}
}
备注
This is the author's accepted manuscript. First published in Proceedings of the American Mathematical Society in (2025), published by the American Mathematical Society