# The spectral estimates for the Neumann-Laplace operator in space domains

@article{Goldshtein2016TheSE,
title={The spectral estimates for the Neumann-Laplace operator in space domains},
journal={arXiv: Analysis of PDEs},
year={2016}
}
• Published 2 July 2016
• Mathematics
• arXiv: Analysis of PDEs
20 Citations
• Mathematics
Journal of Spectral Theory
• 2020
In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of of the first nontrivial Neumann eigenvalue of the Laplace operator in non-convex extension
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• 2020
In this article we obtain estimates of Neumann eigenvalues of p -Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested method is based on
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We study the variation of the Neumann eigenvalues of the $p$-Laplace operator under quasiconformal perturbations of space domains. This study allows to obtain lower estimates of the Neumann
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Georgian Mathematical Journal
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Abstract We study the variation of Neumann eigenvalues of the p-Laplace operator under quasiconformal perturbations of space domains. This study allows us to obtain the lower estimates of Neumann
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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
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. Let Ω and e Ω be domains in the Euclidean space R n . We study the boundary behavior of weak ( p,q ) -quasiconformal mappings, ϕ : Ω → e Ω , n − 1 < q ≤ p < n . The suggested method is based on the
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. We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms ϕ : Ω → e Ω , where Ω and e Ω are domains in R n . Using the weak regularity of inverse mappings we obtain the

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