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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…
Beltrami equations and mappings with asymptotic homogeneity at infinity
V. Gutlyanskii, V. Ryazanov, E. Sevos'yanov +1
First of all, we prove that the BMO condition by John-Nirenberg leads in the natural way to the asymptotic homogeneity at the origin of regular homeomorphic solutions of the degene…
Toward the theory of Dirichlet problem for the degenerate Beltrami equations
V. Gutlyanskii, V. Ryazanov, E. Sevos'yanov +1
In this article, first we give a general lemma on the existence of regular homeomorphic solutions with the hydrodynamic normalization as to the degen…
On Dirichlet problem for Beltrami equations with two characteristics
B. Bojarski, V. Gutlyanskii, V. Ryazanov
We establish a series of criteria on the existence of regular solutions for the Dirichlet problem to general degenerate Beltrami equations ${\bar{\partial}}f = μ{\partial f}+ν{\bar…