Strong barriers for weighted quasilinear equations
Analysis of PDEs
2024-10-14 v2 Functional Analysis
Abstract
In potential theory, use of barriers is one of the most important techniques. We construct strong barriers for weighted quasilinear elliptic operators. There are two applications: (i) solvability of Poisson-type equations with boundary singular data, and (ii) a geometric version of Hardy inequality. Our construction method can be applied to a general class of divergence form elliptic operators on domains with rough boundary.
Keywords
Cite
@article{arxiv.2211.12183,
title = {Strong barriers for weighted quasilinear equations},
author = {Takanobu Hara},
journal= {arXiv preprint arXiv:2211.12183},
year = {2024}
}