1 citations · 1 across the 5 of their papers we have counts for
5 papers
The Dirichlet problem for semi-linear equations
Vladimir Gutlyanskii, Olga Nesmelova, Vladimir Ryazanov
We study the Dirichlet problem for the semi--linear partial differential equations in simply connected domains of the complex plane wi…
Toward the theory of semi-linear equations
Vladimir Gutlyanskii, Olga Nesmelova, Vladimir Ryazanov
In this paper we study the semilinear partial differential equations in the plane the linear part of which is written in a divergence form. The main result is given as a factorizat…
On Hilbert, Riemann, Neumann and Poincare problems for plane quasiregular mappings
Vladimir Gutlyanskii, Vladimir Ryazanov, Artem Yefimushkin
Recall that the Hilbert (Riemann-Hilbert) boundary value problem for the Beltrami equations was recently solved for general settings in terms of nontangential limits and principal…
Ring homeomorphisms and prime ends
Vladimir Gutlyanskii, Vladimir Ryazanov, Eduard Yakubov
We show that every homeomorphic solution of a Beltrami equation in a domain is the so--called ring $…
On -conformal homeomorphisms and boundary correspondence
Vladimir Gutlyanskii, Ken-ichi Sakan, Toshiyuki Sugawa
We study the boundary correspondence under -homeomorphisms of the open upper half-plane onto itself. Sufficient conditions are given for to admit a homeomorphic extensio…