Borderline Sharp Estimates for Solutions to Neumann Problems

@inproceedings{Alberico2007BorderlineSE,
  title={Borderline Sharp Estimates for Solutions to Neumann Problems},
  author={Angela Alberico and Andrea Cianchi},
  year={2007}
}
A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic equations in open subsets Ω of R are established, with data in the limiting space L(Ω), or, more generally, in the Lorentz spaces L(Ω). These estimates are optimal as far as either constants or norms are concerned.