In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We show that an entire branched cover of finite distortion cannot have a compact branch set if its d...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
We study the continuity of mappings of finite distortion, a set of mappings intended to model elasti...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For...
In this thesis, we explore classes of mappings suitable for models in Nonlinear Elastic- ity. We inv...
Abstract. We obtain a quantitative cohomological boundedness the-orem for closed manifolds receiving...
We study mappings of finite distortion between Riemannian manifolds. We establish Vaisala's ine...
Abstract. We examine mappings of finite distortion from Euclidean spaces into Riemannian manifolds. ...
We determine the correct dimension gauge for measuring generalized quasicircles (the images of a cir...
summary:In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Eu...
We study the branch set of a mapping between subsets of Rn, i.e., the set where a given mapping is n...
Abstract. We examine mappings of finite distortion between Riemann-ian manifolds. We use integral ty...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We show that an entire branched cover of finite distortion cannot have a compact branch set if its d...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
We study the continuity of mappings of finite distortion, a set of mappings intended to model elasti...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For...
In this thesis, we explore classes of mappings suitable for models in Nonlinear Elastic- ity. We inv...
Abstract. We obtain a quantitative cohomological boundedness the-orem for closed manifolds receiving...
We study mappings of finite distortion between Riemannian manifolds. We establish Vaisala's ine...
Abstract. We examine mappings of finite distortion from Euclidean spaces into Riemannian manifolds. ...
We determine the correct dimension gauge for measuring generalized quasicircles (the images of a cir...
summary:In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Eu...
We study the branch set of a mapping between subsets of Rn, i.e., the set where a given mapping is n...
Abstract. We examine mappings of finite distortion between Riemann-ian manifolds. We use integral ty...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135425/1/plms0655.pd
We show that an entire branched cover of finite distortion cannot have a compact branch set if its d...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
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