6 citations · 6 across the 3 of their papers we have counts for
4 papers
Regularity for Minimizers of Mixed-Smoothness Variational Integrals
Jan Kristensen, Adam Prosinski, Aidan Strong
We establish the first partial regularity results for minimizers of a class of suitably quasiconvex variational integrals defined on anisotropic Sobolev spaces. These variational i…
Existence of minimisers of variational problems posed in spaces of mixed smoothness
Adam Prosinski
The present work constitutes a first step towards establishing a systematic framework for treating variational problems that depend on a given input function through a mixture of i…
Closed - Quasiconvexity and Variational Problems with Extended Real-Valued Integrands
Adam Prosinski
This paper relates the lower semi-continuity of an integral functional in the compensated compactness setting of vector fields satisfying a constant-rank first-order differential c…
Global-in-time regularity via duality for congestion-penalized Mean Field Games
Adam Prosinski, Filippo Santambrogio
After a brief introduction to one of the most typical problems in Mean Field Games, the congestion case (where agents pay a cost depending on the density of the regions they visit)…