24 citations · 31 across the 7 of their papers we have counts for
7 papers
The Dirichlet problem and prime ends
Denis Kovtonyuk, Igor' Petkov, Vladimir Ryazanov
It is developed the theory of the boundary behavior of homeomorphic solutions of the Beltrami equations of the Sobolev class …
On boundary behavior of mappings with finite distortion in the plane
Denis Kovtonyuk, Igor Petkov, Vladimir Ryazanov
In the present paper, it was studied the boundary behavior of the so-called lower Q-homeomorphisms in the plane that are a natural generalization of the quasiconformal mappings. In…
On boundary behavior of spatial mappings
Denis Kovtonyuk, Vladimir Ryazanov
We show that homeomorphisms in , , of finite distortion in the Orlicz--Sobolev classes with a condition on of the Calderon type…
The theory of prime ends and spatial mappings
Denis Kovtonyuk, Vladimir Ryazanov
It is given a canonical representation of prime ends in regular spatial domains and, on this basis, it is studied the boundary behavior of the so-called lower Q-homeomorphisms that…
On mappings in the Orlicz-Sobolev classes
Denis Kovtonyuk, Vladimir Ryazanov, Ruslan Salimov +1
First of all, we prove that open mappings in Orlicz-Sobolev classes under the Calderon type condition on have the total differential a.e. that is a generali…
On homeomorphisms with finite distortion in the plane
D. Kovtonyuk, I. Petkov., V. Ryazanov
It is shown that every homeomorphism f of finite distortion in the plane is the so-called lower Q-homeomorphism with Q(z)=K_f(z), and, on this base, it is developed the theory of t…