3 papers
math.CV2022
To the theory of semi-linear Beltrami equations
V. Gutlyanskii, O. Nesmelova, V. Ryazanov +1
The present paper is devoted to the study of semi-linear Beltrami equations which are closely relevant to the corresponding semi-linear Poisson type equations of mathematical physi…
math.CV2018
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…
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…