24 citations · 24 across the 7 of their papers we have counts for
7 papers
Generalized Cauchy-Riemann equations and relevant PDE
V. Gutlyanskii, V. Ryazanov, A. Salimov +1
Here we give a survey of consequences from the theory of the Beltrami equations in the complex plane to generalized Cauchy-Riemann equations in…
On the global behavior of solutions of the Beltrami equations
Ruslan Salimov, Mariia Stefanchuk
In this paper, the estimate for growth of homeomorphic solutions of the Beltrami equation at infinity is obtained, provided that the dilatation quotient has a global finite mean os…
The asymptotic behavior of solutions of the Beltrami equation at infinity
O. Afanasieva, R. Salimov
We study the asymptotic behavior of homeomorphic solutions of the Beltrami equation with different conditions on the dilatation at infinity in this paper.
On finite lipschitz Orlicz Sobolev classes
R. Salimov
It is found a sufficient condition of finite Lipschitz of homeomorphisms of the Orlicz-Sobolev class under a condition of the Calderon type.
Foward the theory of Sobolev's mappings on the plane
R. Salimov
The paper is devoted to the study of homeomoephisms with finite distortion on the plane with use of the modulus techniques.
On the Dirichlet problem for degenerate Beltrami equations
Vladimir Ryazanov, Ruslan Salimov, Uri Srebro +1
We show that every homeomorphic solution to a Beltrami equation in a domain is the so--called lower homeo…