A Runge theorem for generalized analytic functions

C Campana, JG Hounie - Mathematische Nachrichten, 2023 - Wiley Online Library
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 …

[HTML][HTML] Strong uniqueness results for first-order planar equations

C Campana, J Hounie - Journal of Differential Equations, 2020 - Elsevier
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 …

Solvability in the large and boundary value problems for Mizohata type operators

C Campana, PL Dattori da Silva - Results in Mathematics, 2022 - Springer
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 …