3 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
Limiting behavior of minimizing -harmonic maps in 3d as goes to with finite fundamental group
Bohdan Bulanyi, Jean Van Schaftingen, Benoît Van Vaerenbergh
We study the limiting behavior of minimizing -harmonic maps from a bounded Lipschitz domain to a compact connected Riemannian manifold without boundary…
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…
Singular extension of critical Sobolev mappings under an exponential weak-type estimate
Bohdan Bulanyi, Jean Van Schaftingen
Given and a compact Riemannian manifold , we construct for every map in the critical Sobolev space $W^{m/(m + 1), m + 1} (\mathb…
Partial regularity for the optimal -compliance problem with length penalization
Bohdan Bulanyi
We establish a partial regularity result for minimizers of the optimal -compliance problem with length penalization in any spatial dimension , extending some…
On the importance of the connectedness assumption in the statement of the optimal -compliance problem
Bohdan Bulanyi
In this short note we provide a proof of the importance of the connectedness assumption in the statement of the optimal -compliance problem with length penalization and in the s…
Regularity for the planar optimal p-compliance problem
Bohdan Bulanyi, Antoine Lemenant
In this paper we prove a partial regularity result in dimension for the optimal -compliance problem, extending for some of the results obtained by A.…