Regularity of mappings inverse to Sobolev mappings
From MaRDI portal
Publication:4907593
DOI10.1070/SM2012v203n10ABEH004269zbMath1266.26019OpenAlexW2001190538MaRDI QIDQ4907593
Publication date: 4 February 2013
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2012v203n10abeh004269
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items (35)
Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion ⋮ Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ О модульных неравенствах типа Полецкого для некоторых классов отображений ⋮ Equilibria of Charged Hyperelastic Solids ⋮ Unnamed Item ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Extremal functions for modules of systems of measures ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ Regularity of the inverse mapping in Banach function spaces ⋮ Foundations of quasiconformal analysis of a two-index scale of spatial mappings ⋮ Sobolev extensions via reflections ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ Об условии типа Геринга и свойствах отображений ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ Bounded composition operator on Lorentz spaces ⋮ On the local properties of solutions of the nonlinear Beltrami equation ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms ⋮ On the regularity of the Poletskii function under weak analytic assumptions on the given mapping ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ On the convergence of mappings with k-finite distortion. ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Basics of the quasiconformal analysis of a two-index scale of spatial mappings ⋮ Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion ⋮ Composition operators in Orlicz-Sobolev spaces ⋮ Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms ⋮ The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev-Orlicz spaces ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ Composition operators in weighted Sobolev spaces on the Carnot group ⋮ Modulus inequalities for mappings with weighted bounded \((p,q)\)-distortion
This page was built for publication: Regularity of mappings inverse to Sobolev mappings
