2 citations · 3 across the 5 of their papers we have counts for
8 papers
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…
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…
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…
Reduced dynamical systems
Luka Boc Thaler, Uroš Kuzman
We consider the dynamics of complex rational maps on the Riemann sphere. We prove that, after reducing their orbits to a fixed number of positive values representing the Fubini-Stu…
On Poletsky theory of discs in compact manifolds
Uros Kuzman
We provide a direct construction of Poletsky discs via local arc approximation and a Runge-type theorem by A. Gournay.
Local approximation of non-holomorphic discs in almost complex manifolds
Florian Bertrand, Uros Kuzman
We provide a local approximation result of non-holomorphic discs with small d-bar by pseudoholomorphic ones. As an application, we provide a certain gluing construction.
Gluing techniques and envelopes of disc functionals on almost complex manifolds
Florian Bertrand, Uros Kuzman
We establish plurisubharmonicity of the envelope of Poisson and Lelong functionals on almost complex manifolds. That is, we generalize the corresponding results for complex manifol…
Lelong functional on almost complex manifolds
Barbara Drinovec Drnovsek, Uros Kuzman
We establish plurisubharmonicity of the envelope of Lelong functional on almost complex manifolds of real dimension four, thereby we generalize the corresponding result for complex…