AbstractBi-Sobolev mappings f:Ω⊂R2→ontoΩ′⊂R2 have been defined as those homeomorphisms such that f and f−1 belong to Wloc1,1. We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df−1 and conversely
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space W1,2...
Abstract. Let Ω ⊂ Rn be open. Given a homeomorphism f ∈ W 1,1loc (Ω,Rn) of finite distortion with |D...
AbstractBi-Sobolev mappings f:Ω⊂R2→ontoΩ′⊂R2 have been defined as those homeomorphisms such that f a...
Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those...
Under a condition of the Calderon type on ', we show that continuous mappings f in W1;' loc , in p...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
Abstract We study the validity of the condition (N) of Lusin for homeomorphisms ...
AbstractSuppose that f=(u,v) is a homeomorphism in the plane of the Sobolev class Wloc1,1 such that ...
Every homeomorphism h: X -\u3e Y between planar open sets that belongs to the Sobolev class W1;p(X;Y...
We consider Sobolev mappings f ∈ W 1,1loc (Ω,R2), where Ω is a subdomain of R2. Thus, for almost eve...
We extend the basic results on mappings of subexponentially integrable distortion to the cases where...
AbstractWe investigate how the integrability of the derivatives of Orlicz–Sobolev mappings defined o...
In this article, we consider the H\"{o}lder continuity of injective maps in Orlicz-Sobolev classes d...
Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space W1,2...
Abstract. Let Ω ⊂ Rn be open. Given a homeomorphism f ∈ W 1,1loc (Ω,Rn) of finite distortion with |D...
AbstractBi-Sobolev mappings f:Ω⊂R2→ontoΩ′⊂R2 have been defined as those homeomorphisms such that f a...
Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those...
Under a condition of the Calderon type on ', we show that continuous mappings f in W1;' loc , in p...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
Abstract We study the validity of the condition (N) of Lusin for homeomorphisms ...
AbstractSuppose that f=(u,v) is a homeomorphism in the plane of the Sobolev class Wloc1,1 such that ...
Every homeomorphism h: X -\u3e Y between planar open sets that belongs to the Sobolev class W1;p(X;Y...
We consider Sobolev mappings f ∈ W 1,1loc (Ω,R2), where Ω is a subdomain of R2. Thus, for almost eve...
We extend the basic results on mappings of subexponentially integrable distortion to the cases where...
AbstractWe investigate how the integrability of the derivatives of Orlicz–Sobolev mappings defined o...
In this article, we consider the H\"{o}lder continuity of injective maps in Orlicz-Sobolev classes d...
Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space W1,2...
Abstract. Let Ω ⊂ Rn be open. Given a homeomorphism f ∈ W 1,1loc (Ω,Rn) of finite distortion with |D...
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