Second order regularity for degenerate p-Laplace type equations with log-concave weights
Analysis of PDEs
2025-01-14 v2 Functional Analysis
Abstract
We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second-order estimates. For unbounded domains, we prove local estimates at the boundary. The results are new even for the case p = 2.
Cite
@article{arxiv.2501.02106,
title = {Second order regularity for degenerate p-Laplace type equations with log-concave weights},
author = {Carlo Alberto Antonini and Giulio Ciraolo and Francesco Pagliarin},
journal= {arXiv preprint arXiv:2501.02106},
year = {2025}
}
Comments
2 figures. Comments are welcome