Add to ORKGAbstract. Let Ω ⊂ Rn be open. Given a homeomorphism f ∈ W 1,1loc (Ω,Rn) of finite distortion with |Df | in the Lorentz space Ln−1,1(Ω), we show that f−1 ∈ W 1,1loc (f(Ω),Rn) and that f−1 has finite distortion. A class of counterexamples demonstrating sharp-ness of the results is constructed. 1
A regular homeomorphism of the Sobolev class W 1,1loc in the plane domain D is a ring Q-homeomorphis...
Abstract. Let X ⊂ C and Y ⊂ C be Jordan domains of the same finite con-nectivity, Y being inner chor...
This Thesis is devoted to the problem of � finding regular approximations of planar homeomorphisms ...
Letp > n-1 and α ∈ R and suppose that f: Ω →onto Ω′ is a homeomorphism in the Zygmund-Sobolev space ...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study t...
Let $p > n-1$ and $\alpha\in\mathsf{R}$ and suppose that $f:\Omega\stackrel{\rm onto\,\,}\longrig...
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inve...
Abstract. Let Ω ⊂ Rn be a domain. We show that each homeomor-phism f in the Sobolev space W 1,1loc (...
We study the optimal conditions on a homeomorphism f : Ω → Rn which guarantee that the composition u...
We establish regularity properties of the inverse of a homeomorphism under suitable integrability c...
We elucidate possibilities of lower estimates of moduli for families of surfaces of dimension n − 1 ...
Let Ω in R^2 be a domain. Suppose that f in 2 W ^{1;1}_loc (Ω ;R^2) is a homeomorphism. Then the...
Abstract. In 1971 V. M. Goldshtein [14] has proved a theorem about lo-cal homeomorphism of mappings ...
We show that the limit f of a weakly convergent sequence of W-1,W-1 homeomorphisms f (j) with finite...
A regular homeomorphism of the Sobolev class W 1,1loc in the plane domain D is a ring Q-homeomorphis...
Abstract. Let X ⊂ C and Y ⊂ C be Jordan domains of the same finite con-nectivity, Y being inner chor...
This Thesis is devoted to the problem of � finding regular approximations of planar homeomorphisms ...
Letp > n-1 and α ∈ R and suppose that f: Ω →onto Ω′ is a homeomorphism in the Zygmund-Sobolev space ...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study t...
Let $p > n-1$ and $\alpha\in\mathsf{R}$ and suppose that $f:\Omega\stackrel{\rm onto\,\,}\longrig...
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inve...
Abstract. Let Ω ⊂ Rn be a domain. We show that each homeomor-phism f in the Sobolev space W 1,1loc (...
We study the optimal conditions on a homeomorphism f : Ω → Rn which guarantee that the composition u...
We establish regularity properties of the inverse of a homeomorphism under suitable integrability c...
We elucidate possibilities of lower estimates of moduli for families of surfaces of dimension n − 1 ...
Let Ω in R^2 be a domain. Suppose that f in 2 W ^{1;1}_loc (Ω ;R^2) is a homeomorphism. Then the...
Abstract. In 1971 V. M. Goldshtein [14] has proved a theorem about lo-cal homeomorphism of mappings ...
We show that the limit f of a weakly convergent sequence of W-1,W-1 homeomorphisms f (j) with finite...
A regular homeomorphism of the Sobolev class W 1,1loc in the plane domain D is a ring Q-homeomorphis...
Abstract. Let X ⊂ C and Y ⊂ C be Jordan domains of the same finite con-nectivity, Y being inner chor...
This Thesis is devoted to the problem of � finding regular approximations of planar homeomorphisms ...