Hilbert problem with measurable data for semilinear equations of the Vekua type
Hilbert problem with measurable data for semilinear equations of the Vekua type
We prove the existence of solutions for the Hilbert boundary-value problem with arbitrary measurable data for the nonlinear equations of the Vekua’s type ∂z f (z ) = h (z )q(f (z )). The found solutions differ from the classical ones, because our approach is based on the notion of …