Gutlyanskii, V. Ya., Ryazanov, Vladimir, Salimov, R., Sevost’yanov, Е. А.
(2024)
On divergence-type linear and quasi-linear equations in the complex plane.
Journal of Mathematical Sciences, 279 (1).
pp. 37-66.
ISSN 1072-3374
Abstract
This is a survey of our recent results concerning divergence-type linear and quasi-linear equations in the complex plane. It contains a number of existence, representation, and regularity theorems for the solutions of fundamental boundary value problems for such equations. The degeneration case of uniform ellipticity is also covered by means of the BMO, VMO, Calderon–Zygmund, Lehto, and Orlicz technics.
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