Regular boundary points and the Dirichlet problem for elliptic equations in double divergence form
Analysis of PDEs
2025-05-07 v1
Abstract
We study the Dirichlet problem for a second-order elliptic operator in double divergence form, also known as the stationary Fokker-Planck-Kolmogorov equation. Assuming that the leading coefficients have Dini mean oscillation, we establish the equivalence between regular boundary points for the operator and those for the Laplace operator, as characterized by the classical Wiener criterion.
Keywords
Cite
@article{arxiv.2505.03137,
title = {Regular boundary points and the Dirichlet problem for elliptic equations in double divergence form},
author = {Hongjie Dong and Dong-ha Kim and Seick Kim},
journal= {arXiv preprint arXiv:2505.03137},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2402.17948, arXiv:2504.00190