DOIAbstract
AbstractLet 1⩽p<N. We construct a homeomorphism f in the Sobolev space W1,p((0,1)N,(0,1)N) such that Jf=0 almost everywhere
AbstractLet 1⩽p<N. We construct a homeomorphism f in the Sobolev space W1,p((0,1)N,(0,1)N) such that Jf=0 almost everywhere
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. We investigate how planar Sobolev-Orlicz homeomorphisms map sets of Hausdorff dimension le...
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inve...
Let Ω ⊂ R n, n ≥ 4, be a domain and 1 ≤ p 0 on a set of positive measure and Jf < 0 on a set of pos...
Let Ω be a domain in Rn, where n=2,3. Suppose that a sequence of Sobolev homeomorphisms fk:Ω→Rn with...
Abstract. Let Ω ⊂ Rn be a domain. We show that each homeomor-phism f in the Sobolev space W 1,1loc (...
Abstract. Every homeomorphism h: X → Y between planar open sets that belongs to the Sobolev class W ...
A regular homeomorphism of the Sobolev class W 1,1loc in the plane domain D is a ring Q-homeomorphis...
AbstractLet f∈W1,1(Ω,Rn) be a homeomorphism of finite distortion K. It is known that if K1/(n−1)∈L1(...
In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev [...]info:eu-repo/...
Given a Sobolev homeomorphism f ∈ W2,1 in the plane we find a piecewise quadratic homeomorphism that...
Abstract. Let X ⊂ C and Y ⊂ C be Jordan domains of the same finite con-nectivity, Y being inner chor...
In this thesis, we explore classes of mappings suitable for models in Nonlinear Elastic- ity. We inv...
The first goal of this paper is to give a short description of the planar bi-Sobolev homeomorphisms,...
Let Ω ⊆ ℝ2 be a domain, let X be a rearrangement invariant space and let f ∈ W1 X (Ω, ℝ2) be a homeo...
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. We investigate how planar Sobolev-Orlicz homeomorphisms map sets of Hausdorff dimension le...
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inve...
Let Ω ⊂ R n, n ≥ 4, be a domain and 1 ≤ p 0 on a set of positive measure and Jf < 0 on a set of pos...
Let Ω be a domain in Rn, where n=2,3. Suppose that a sequence of Sobolev homeomorphisms fk:Ω→Rn with...
Abstract. Let Ω ⊂ Rn be a domain. We show that each homeomor-phism f in the Sobolev space W 1,1loc (...
Abstract. Every homeomorphism h: X → Y between planar open sets that belongs to the Sobolev class W ...
A regular homeomorphism of the Sobolev class W 1,1loc in the plane domain D is a ring Q-homeomorphis...
AbstractLet f∈W1,1(Ω,Rn) be a homeomorphism of finite distortion K. It is known that if K1/(n−1)∈L1(...
In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev [...]info:eu-repo/...
Given a Sobolev homeomorphism f ∈ W2,1 in the plane we find a piecewise quadratic homeomorphism that...
Abstract. Let X ⊂ C and Y ⊂ C be Jordan domains of the same finite con-nectivity, Y being inner chor...
In this thesis, we explore classes of mappings suitable for models in Nonlinear Elastic- ity. We inv...
The first goal of this paper is to give a short description of the planar bi-Sobolev homeomorphisms,...
Let Ω ⊆ ℝ2 be a domain, let X be a rearrangement invariant space and let f ∈ W1 X (Ω, ℝ2) be a homeo...
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. We investigate how planar Sobolev-Orlicz homeomorphisms map sets of Hausdorff dimension le...
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inve...
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