Space quasiconformal composition operators with applications to Neumann eigenvalues
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Publication:6090746
DOI10.1007/978-3-031-25424-6_6zbMath1527.35192MaRDI QIDQ6090746
Alexander Ukhlov, Valerii Pchelintsev, Vladimir Gol'dshtein, Ritva Hurri-Syrjänen
Publication date: 17 November 2023
Published in: Harmonic Analysis and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10138/328424
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)
Cites Work
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- On the first eigenvalues of free vibrating membranes in conformal regular domains
- Poincaré inequalities in quasihyperbolic boundary condition domains
- Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan's conjecture
- Degree of summability of the generalized derivatives of quasiconformal homeomorphisms
- Conformal geometry and quasiregular mappings
- Applications of change of variables operators for exact embedding theorems
- Area distortion of quasiconformal mappings
- Quasiconformal maps and Poincaré domains
- Sharp Poincaré inequalities in a class of non-convex sets
- Space quasiconformal mappings and Neumann eigenvalues in fractal type domains
- Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian
- On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains
- Quasiconformal mappings and global integrability of the derivative
- Quasihyperbolic boundary conditions and Poincaré domains
- On mappings generating the embeddings of Sobolev spaces
- Composition operators on Sobolev spaces and Neumann eigenvalues
- The spectral estimates for the Neumann-Laplace operator in space domains
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Analytical foundations of the theory of quasiconformal mappings in R^n
- Weighted Sobolev spaces and embedding theorems
- Lipschitz classes and quasiconformla mappings
- Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n
- Weakly Differentiable Functions
- Best constants in Poincar\'e inequalities for convex domains
- About homeomorphisms that induce composition operators on Sobolev spaces
- Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains
- An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
- Superposition operators in Sobolev spaces
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