32 citations · 242 across the 23 of their papers we have counts for
5 papers · 1 filter
Oscillation and concentration in sequences of PDE constrained measures
Jan Kristensen, Bogdan Raiţă
We show that for constant rank partial differential operators , generalized Young measures generated by sequences of -free measures can be characterized b…
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints
André Guerra, Bogdan Raiţă
We present a systematic treatment of the theory of Compensated Compactness under Murat's constant rank assumption. We give a short proof of a sharp weak lower semicontinuity result…
A Note on Estimates for Elliptic Systems with Data
Bogdan Raiţă, Daniel Spector
In this paper we give necessary and sufficient conditions on the compatibility of a th order homogeneous linear elliptic differential operator and differential cons…
On limiting trace inequalities for vectorial differential operators
Franz Gmeineder, Bogdan Raita, Jean Van Schaftingen
We establish that trace inequalities $$\|D^{k-1}u\|_{L^{\frac{n-s}{n-1}}(\mathbb{R}^{n},dμ)} \leq c \|μ\|_{L^{1,n-s}(\mathbb{R}^{n})}^{\frac{n-1}{n-s}}\|\mathbb{A}[D]u\|_{L^{1}(\ma…
Continuity and canceling operators of order on
Bogdan Raiţă, Anna Skorobogatova
We prove that for elliptic and canceling linear differential operators of order on , continuity of a map can be inferred from the fact that $\mat…