Bohdan Bulanyi

activity

20242026

collaborators

4 papers

math.OC2026

On the equivalence of static and dynamic weak optimal transport

Bohdan Bulanyi

We show that there is a PDE formulation in terms of Fokker-Planck equations for weak optimal transport problems. The main novelty is that we introduce a minimization problem involv…

math.AP2025

Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term

Bohdan Bulanyi, Berardo Ruffini

We establish the convergence of threshold dynamics-type approximation schemes to propagating fronts evolving according to an anisotropic mean curvature motion in the presence of a…

math.AP2024

Limiting behavior of minimizing $p$ -harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group

Bohdan Bulanyi, Jean Van Schaftingen, BenoÃ®t Van Vaerenbergh

We study the limiting behavior of minimizing $p$ -harmonic maps from a bounded Lipschitz domain $I^c ◯ \subset R^{3}$ to a compact connected Riemannian manifold without boundar…

math.AP2024

Singular extension of critical Sobolev mappings under an exponential weak-type estimate

Bohdan Bulanyi, Jean Van Schaftingen

Given $m \in N ∖ {0}$ and a compact Riemannian manifold $N$ , we construct for every map $u$ in the critical Sobolev space $W^{m/(m + 1), m + 1} (\mathb…

On the equivalence of static and dynamic weak optimal transport

Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term

Limiting behavior of minimizing p-harmonic maps in 3d as p goes to 2 with finite fundamental group

Singular extension of critical Sobolev mappings under an exponential weak-type estimate

Limiting behavior of minimizing $p$ -harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group