Neumann eigenvalues of elliptic operators in Sobolev extension domains
From MaRDI portal
Publication:6545470
DOI10.1007/s13324-024-00926-xzbMath1541.35322MaRDI QIDQ6545470
Valerii Pchelintsev, Vladimir Gol'dshtein, Alexander Ukhlov
Publication date: 29 May 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the first eigenvalues of free vibrating membranes in conformal regular domains
- A density problem for Sobolev spaces on Gromov hyperbolic domains
- Whitney-type extension theorems for jets generated by Sobolev functions
- An optimal Poincaré inequality for convex domains
- On planar Sobolev \(L_p^m\)-extension domains
- Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings
- Extremals for eigenvalues of Laplacians under conformal mapping
- Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
- Sobolev extension operators and Neumann eigenvalues
- The spectral estimates for the Neumann-Laplace operator in space domains
- Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
- The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
- Weighted Sobolev spaces and embedding theorems
- Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators
- Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions
- Sobolev Spaces
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
This page was built for publication: Neumann eigenvalues of elliptic operators in Sobolev extension domains