4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CV2015
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 …
math.CV2015★ 1 cited
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…
math.CV2010★ 4 cited
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…