The divergence equation and Hardy inequalities for L^1 vector fields.

Pierre Bousquet

(Aix-Marseille Université, LATP UMR 7353 - CMI)

Event: ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations

Date: Jun 30, 2014, time: 16:20

Abstract. We present an existence theorem for the divergence equation which extends to the
whole scale of Sobolev spaces a limiting estimate due to Bourgain and Brezis.
We also discuss new Hardy type inequalities