# On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue

@inproceedings{Pchelintsev2021OnGM, title={On growth monotonicity estimates of the principal Dirichlet-Laplacian eigenvalue}, author={V. A. Pchelintsev}, year={2021} }

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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