Spectral stability estimates of Dirichlet divergence form elliptic operators
From MaRDI portal
Publication:2218310
DOI10.1007/s13324-020-00425-9zbMath1472.35254arXiv1905.05473OpenAlexW3096559455MaRDI QIDQ2218310
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
Publication date: 15 January 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05473
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Quasiconformal mappings in the complex plane (30C62) Quasilinear elliptic equations (35J62)
Related Items (2)
Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator ⋮ Estimates for Dirichlet eigenvalues of divergence form elliptic operators in non-Lipschitz domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
- Degree of summability of the generalized derivatives of quasiconformal homeomorphisms
- Best constant in Sobolev inequality
- Applications of change of variables operators for exact embedding theorems
- Area distortion of quasiconformal mappings
- On quasiconformal maps and semilinear equations in the plane
- Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian
- Quasihyperbolic boundary conditions and Poincaré domains
- On mappings generating the embeddings of Sobolev spaces
- Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
- Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
- Sobolev homeomorphisms and Brennan's conjecture
- Spectral stability of Dirichlet second order uniformly elliptic operators
- Rotation estimates and spirals
- Conformal spectral stability estimates for the Neumann Laplacian
- On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian
- Conformal spectral stability estimates for the Dirichlet Laplacian
- Spectral Stability of Higher Order Uniformly Elliptic Operators
- Weighted Sobolev spaces and embedding theorems
- Eigenvalues of the Laplacian on inhomogeneous membranes
- Some planar isospectral domains
- Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains
- On conformal spectral gap estimates of the Dirichlet–Laplacian
- Superposition operators in Sobolev spaces
This page was built for publication: Spectral stability estimates of Dirichlet divergence form elliptic operators