Page 1 OLLI MARTIO VLADIMIR RYAZANOV URI SREBRO EDUARD YAKUBOV Moduli in
Modern Mapping Theory Springer Springer Monographs in Mathematics Page 2 Springer …

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 …

This book is devoted to the Beltrami equations that play a significant role in Geometry,
Analysis and Physics and, in particular, in the study of quasiconformal mappings and their …

Mappings of finite distortion: Monotonicity and continuity Page 1 Digital Object Identifier (DOI)
10.1007/s002220100130 Invent. math. 144, 507–531 (2001) Mappings of finite distortion …

New global regularity estimates are obtained for solutions to a class of quasilinear elliptic
boundary value problems. The coefficients are assumed to have small BMO seminorms, and …

Space BMO-quasiconformal mappings satisfy a special modulus inequality that is used to
define the class of Q-homeomorphisms. In this class we study distortion theorems, boundary …

Global weighted Lp estimates are obtained for the gradient of solutions to nonlinear elliptic
Dirichlet boundary value problems over a bounded nonsmooth domain. Morrey and Hölder …

A weighted norm inequality of Muckenhoupt–Wheeden type is obtained for gradients of
solutions to a class of quasilinear equations with measure data on Reifenberg flat domains …

We establish a sharp integrability condition on the partial derivatives of a mapping with L p-
integrable distortion for some p> n− 1 to guarantee discreteness and openness. We also …

Given p∈[2,+∞), we obtain the global W1, p estimate for the weak solution of a boundary-
value problem for an elliptic equation with BMO nonlinearity in a Reifenberg domain …