Composition operators on Sobolev spaces and Neumann eigenvalues
From MaRDI portal
Publication:2007941
DOI10.1007/s11785-018-0826-1zbMath1430.35174arXiv1801.10421OpenAlexW2963033192WikidataQ129479841 ScholiaQ129479841MaRDI QIDQ2007941
Vladimir Gol'dshtein, Alexander Ukhlov
Publication date: 22 November 2019
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.10421
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15)
Related Items
Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains
- A quasiconformal composition problem for the \(Q\)-spaces
- Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
- Mappings of finite signed distortion: Sobolev spaces and composition of mappings
- Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan's conjecture
- An optimal Poincaré inequality for convex domains
- Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
- Transformations that preserve Sobolev spaces
- Convexity conditions and existence theorems in nonlinear elasticity
- Extremals for eigenvalues of Laplacians under conformal mapping
- Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
- Applications of change of variables operators for exact embedding theorems
- Sharp Poincaré inequalities in a class of non-convex sets
- Space quasiconformal mappings and Neumann eigenvalues in fractal type domains
- On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains
- Homeomorphisms that induce monomorphisms of Sobolev spaces
- On mappings generating the embeddings of Sobolev spaces
- A remark on optimal weighted Poincaré inequalities for convex domains
- Mappings with bounded \((P,Q)\)-distortion on Carnot groups
- Bounded compositions on scaling invariant Besov spaces
- The spectral estimates for the Neumann-Laplace operator in space domains
- Sharp bounds for composition with quasiconformal mappings in Sobolev spaces
- A change of variable that preserves the differential properties of functions
- On open and discrete mappings with a modulus condition
- Conformal spectral stability estimates for the Neumann Laplacian
- On some isoperimetric inequalities involving eigenvalues of symmetric free membranes
- Conformal spectral stability estimates for the Dirichlet Laplacian
- Moduli in Modern Mapping Theory
- Homeomorphisms in the Sobolev space W 1,n–1
- Weighted Sobolev spaces and embedding theorems
- CAPACITY OF CONDENSERS AND SPATIAL MAPPINGS QUASICONFORMAL IN THE MEAN
- ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
- Global invertibility of Sobolev functions and the interpenetration of matter
- Best constants in Poincar\'e inequalities for convex domains
- Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces
- About homeomorphisms that induce composition operators on Sobolev spaces
- Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems
- Superposition operators in Sobolev spaces