Boundary value problems for a class of planar complex vector fields - ScienceDirect Skip to
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We study the Hölder solvability of a class of complex vector fields on the torus $\mathbb {T}^
2$. We make use of the Theta function to associate a Cauchy-Pompeiu type integral …

Riemann–Hilbert problem for a class of hypocomplex vector fields Page 1 COMPLEX
VARIABLES AND ELLIPTIC EQUATIONS, 2017 VOL. 62, NO. 10, 1413–1424 https://doi.org/10.1080/17476933.2016.1197917 …

We show an approximation theorem of Runge type for solutions of the generalized Vekua
equation L u= A u+ B u¯ Lu=Au+Bu, where L belongs to a class of degenerate elliptic planar …

This paper deals with the solvability of planar complex vector fields with homogeneous
degeneracies. Hölder continuous solutions are obtained via a Cauchy type integral operator …

We discuss strong uniqueness results in the forward Cauchy Problem for a class of complex
fist-order equations with Hölder coefficients defined in the plane. We use an appropriate …

In this paper we seek for (Hölder) continuous global solutions to the equation L u= f in the
plane, for f belonging to a subspace of L p (R 2), p≥ 1, where L is a degenerate elliptic …

For a real analytic complex vector field $ L $, in an open set of $\mathbb {R}^ 2$, with local
first integrals that are open maps, we attach a number $\mu\ge 1$(obtained through …

O presente trabalho estuda operadores diferenciais parciais lineares complexos de ordem
um sem termos de ordem zero (campos de vetores complexos). Primeiramente …