Conformal composition operators with applications to Dirichlet eigenvalues
Analysis of PDEs
2025-12-15 v1
Abstract
This paper is concerned with spectral estimates for the first Dirichlet eigenvalue of the degenerate -Laplace operator in bounded simply connected domains . The proposed approach relies on the conformal analysis of the elliptic operators, which allows us to obtain spectral estimates in domains with non-rectifiable boundaries.
Cite
@article{arxiv.2512.11380,
title = {Conformal composition operators with applications to Dirichlet eigenvalues},
author = {C. Deneche and V. Pchelintsev},
journal= {arXiv preprint arXiv:2512.11380},
year = {2025}
}