3 papers
math.CV2024
Solutions of Pascali systems attached to convex boundaries
Barbara Drinovec Drnovšek, Uroš Kuzman
Given a bounded strictly convex domain and a point we construct a continuous solution of the Pascali-type elliptic system of differential equations t…
math.CV2021
Approximation theorems for Pascali systems
Barbara Drinovec Drnovšek, Uroš Kuzman
Based on Runge theorem for generalized analytic vectors proved by Goldschmidt in 1979 we provide a Mergelyan-type and a Carleman-type approximation theorems for solutions of Pascal…
math.CV2020
On J-holomorphic variational vector fields and extremal discs
Uroš Kuzman
We prove that every -holomorphic variational vector field can be realized as derivation where is a one parametric family of -holomorphic disc…