Abstract: In
this paper, we discuss on the existence of the solution of Vekua equation
(1)
satisfying
the following condition:
on
(2)
where a, b and g
are real-valued measurable functions on and Without
loss of generality, we also suppose that the index of the given boundary value
problem is nonnegative and D is a
domain with finite area in the complex plane and such
that the functions satisfy
the Lipschitz condition of the form
almost everywhere in D,
whereas constant L is arbitrary positive number.
