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The impact of Bojarski’s works on the theory of elliptic partial differential equations on the plane. (English) Zbl 1438.30121

Summary: The period of the formation of the theory of generalized analytic functions, nowadays known as the Bers-Vekua theory, meets the beginning of scientific activity of Bogdan Bojarski together with his supervisor Ilia Vekua in Moscow. Bojarski’s fundamental new approach to the solution of the system of elliptic partial differential equations on a plane, opened up a direct pathway to many important issues in the geometric theory of analytic functions and related boundary value problems. In this paper we give a short overview of important results of Bogdan Bojarski in the theory of generalized analytic functions and his point of view on the theory of boundary value problems.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
35J99 Elliptic equations and elliptic systems

Biographic References:

Bojarski, Bogdan
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