Conformal spectral stability estimates for the Neumann Laplacian
DOI10.1002/mana.201500439zbMath1355.47010arXiv1602.02954OpenAlexW2963219168MaRDI QIDQ2953704
Vladimir Gol'dshtein, Victor I. Burenkov, Alexander Ukhlov
Publication date: 5 January 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.02954
Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25)
Related Items (5)
Cites Work
- Unnamed Item
- Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
- Conformal weights and Sobolev embeddings
- Dimension of quasicircles
- Quasicircles modulo bilipschitz maps
- Extremals for eigenvalues of Laplacians under conformal mapping
- Applications of change of variables operators for exact embedding theorems
- Area distortion of quasiconformal mappings
- Quasihyperbolic boundary conditions and Poincaré domains
- On mappings generating the embeddings of Sobolev spaces
- Sobolev homeomorphisms and Brennan's conjecture
- Spectral stability of Dirichlet second order uniformly elliptic operators
- Quasiconformal reflections
- SPECTRAL STABILITY ESTIMATES FOR ELLIPTIC OPERATORS SUBJECT TO DOMAIN TRANSFORMATIONS WITH NON‐UNIFORMLY BOUNDED GRADIENTS
- Conformal spectral stability estimates for the Dirichlet Laplacian
- Spectral Stability of Higher Order Uniformly Elliptic Operators
- Approximation of Ground State Eigenvalues and Eigenfunctions of Dirichlet Laplacians
- Sharp boundary estimates for elliptic operators
- Hölder continuity of conformal maps with quasiconformal extension
- Hausdorff Dimension and Quasiconformal Mappings
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