We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a covector ω is locally (1/K)(∥ω∥/|ω|ℓ1)-Hölder continuous. We also show that quasiregular curves enjoy higher integrability.Peer reviewe
We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasicon...
This thesis is primarily concerned with the convexity properties of distortion functionals (particul...
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal hi...
We extend the notion of a pseudoholomorphic vector of Iwaniec, Verchota, and Vogel to mappings betwe...
Abstract.: We show that a quasiconformal mapping between two proper, locally Ahlfors Q-regular metri...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping with...
We give sufficient conditions for a planar quasiregular mapping to be injective in terms of the rang...
Advisors: Alastair N. Fletcher.Committee members: Douglas Bowman; Ilya Krishtal; Jeffrey Thunder.Inc...
We show that an injective continuous map between planar regions which distorts vertices of equilater...
We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$-int...
This thesis has been written under the supervision of my mentor Prof. Miodrag Mateljevi c, and my co...
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of th...
We establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a...
We give an example of a -smooth quasiregular mapping in 3-space with nonempty branch set. Moreover, ...
We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasicon...
This thesis is primarily concerned with the convexity properties of distortion functionals (particul...
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal hi...
We extend the notion of a pseudoholomorphic vector of Iwaniec, Verchota, and Vogel to mappings betwe...
Abstract.: We show that a quasiconformal mapping between two proper, locally Ahlfors Q-regular metri...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping with...
We give sufficient conditions for a planar quasiregular mapping to be injective in terms of the rang...
Advisors: Alastair N. Fletcher.Committee members: Douglas Bowman; Ilya Krishtal; Jeffrey Thunder.Inc...
We show that an injective continuous map between planar regions which distorts vertices of equilater...
We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$-int...
This thesis has been written under the supervision of my mentor Prof. Miodrag Mateljevi c, and my co...
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of th...
We establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a...
We give an example of a -smooth quasiregular mapping in 3-space with nonempty branch set. Moreover, ...
We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasicon...
This thesis is primarily concerned with the convexity properties of distortion functionals (particul...
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal hi...
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