On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue
Analysis of PDEs
2021-12-02 v1
Abstract
In the present paper we obtain growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue in bounded non-Lipschitz domains. The proposed method is based on composition operators generated by quasiconformal mappings and their applications to weighted Sobolev inequalities.
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Cite
@article{arxiv.2112.00411,
title = {On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue},
author = {Valerii Pchelintsev},
journal= {arXiv preprint arXiv:2112.00411},
year = {2021}
}
Comments
10 pages