Sobolev homeomorphisms and Brennan's conjecture
From MaRDI portal
Publication:2255472
DOI10.1007/s40315-014-0065-zzbMath1307.30010arXiv1309.1940OpenAlexW2036405705WikidataQ122872818 ScholiaQ122872818MaRDI QIDQ2255472
Alexander Ukhlov, Vladimir Gol'dshtein
Publication date: 17 February 2015
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.1940
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of conformal mappings (30C35) Quasiconformal mappings in the complex plane (30C62)
Related Items
On the first eigenvalues of free vibrating membranes in conformal regular domains ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains ⋮ Conformal spectral stability estimates for the Dirichlet Laplacian ⋮ Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators ⋮ Conformal spectral stability estimates for the Neumann Laplacian ⋮ Spectral stability estimates of Dirichlet divergence form elliptic operators ⋮ 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 ⋮ Weak regularity of degenerate elliptic equations
Cites Work
- Unnamed Item
- Conformal weights and Sobolev embeddings
- Hölder quasicontinuity of Sobolev functions on metric spaces
- Applications of change of variables operators for exact embedding theorems
- Quasiconformal mappings and global integrability of the derivative
- On mappings generating the embeddings of Sobolev spaces
- Brennan's conjecture and universal Sobolev inequalities
- Brennan's conjecture for composition operators on Sobolev spaces
- Weighted Sobolev spaces and embedding theorems
- Global Lp -integrability of the derivative of a quasiconformal mapping
- The Integrability of the Derivative in Conformal Mapping
- Weakly Differentiable Functions
- About homeomorphisms that induce composition operators on Sobolev spaces
- The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping
- Superposition operators in Sobolev spaces
This page was built for publication: Sobolev homeomorphisms and Brennan's conjecture