3 papers
math.CV2017
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…
math.CV2015
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 $…
math.CV2011
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…