Basics of the quasiconformal analysis of a two-index scale of spatial mappings
From MaRDI portal
Publication:1734969
DOI10.1134/S0037446618050075zbMath1415.30022OpenAlexW2901277639WikidataQ128880693 ScholiaQ128880693MaRDI QIDQ1734969
Publication date: 27 March 2019
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446618050075
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items (10)
Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ О модульных неравенствах типа Полецкого для некоторых классов отображений ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ On changing variables in \(L^p\)-spaces with distributed-microstructure ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion
Cites Work
- Modulus inequalities for mappings with weighted bounded \((p,q)\)-distortion
- Differentiability in the Sobolev space \(W^{1,n-1}\)
- On the regularity of the Poletskii function under weak analytic assumptions on the given mapping
- Mappings of finite codistortion and Sobolev classes of functions
- Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion
- Hyperelastic deformations of smallest total energy
- Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
- Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function
- On functions with derivatives in a Lorentz space
- Liouville type theorems for mappings with bounded (co)-distortion
- Mappings with bounded \((P,Q)\)-distortion on Carnot groups
- Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
- Normal families of spaces mappings
- Some geometrical properties of functions and mappings with generalized derivatives
- Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
- The continuity of Sobolev functions on the hyperplanes
- On totally differentiable and smooth functions
- Toward the theory of Orlicz–Sobolev classes
- Spaces of differential forms and maps with controlled distortion
- Homeomorphisms in the Sobolev space W 1,n–1
- Global invertibility of Sobolev functions and the interpenetration of matter
- Change of variables formula under minimal assumptions
- Differentiability of maps of Carnot groups of Sobolev classes
- Regularity of mappings inverse to Sobolev mappings
- THE MODULUS METHOD FOR NONHOMEOMORPHIC QUASICONFORMAL MAPPINGS
- NON-LINEAR POTENTIAL THEORY
- Sobolev Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Basics of the quasiconformal analysis of a two-index scale of spatial mappings
