Abstract
We study elliptic systems of strongly nonlinear first-order differential equations in complex form on the plane. For such systems we develop the theory of Hilbert boundary value problems which is very much similar to the well-known theory for a holomorphic vector. Systems of nonlinear elliptic equations describe problems of interaction of several nonlinear stationary processes in the diffusive and convective mass and heat transport by hydrodynamic fluid flows.
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Monakhov, V.N. Nonlinear Diffusion Processes. Siberian Mathematical Journal 44, 845–856 (2003). https://doi.org/10.1023/A:1025992904840
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DOI: https://doi.org/10.1023/A:1025992904840