Publication database of NCMM , project MORE and MathMAC center.
Dear guest, welcome to this publication database. As an anonymous user, you will probably not have edit rights. Also, the collapse status of the topic tree will not be persistent. If you like to have these and other options enabled, you might ask Jaroslav Hron for a login account.
This site is powered by Aigaion - A PHP/Web based management system for shared and annotated bibliographies. For more information visit https://github.com/aigaion.
 [BibTeX] [RIS] [Request]
Potential estimates for the p-Laplace system with data in divergence form
Type of publication: Article
Citation:
Publication status: Submitted
Journal: JDE
Year: 2017
Abstract: A pointwise bound for local weak solutions to the p-Laplace system is established in terms of data on the right-hand side in divergence form. The relevant bound involves a Havin-Maz'ya- Wul potential of the datum, and is a counterpart for data in divergence form of a classical result of [KiMa], that has recently been extended to systems in [KuMi2]. A local bound for oscillations is also provided. These results allow for a uni ed approach to regularity estimates for broad classes of norms, including Banach function norms (e.g. Lebesgue, Lorentz and Orlicz norms), and norms depending on the oscillation of functions (e.g. Holder, BMO and, more generally, Campanato type norms). In particular, new regularity properties are exhibited, and well-known results are easily recovered.
Preprint project: MORE
Preprint year: 2017
Preprint number: 16
Preprint ID: MORE/2017/16
Keywords:
Authors Cianchi, Andrea
Schwarzacher, Sebastian
Added by: [MB]
Total mark: 0
Attachments
  • cianchi-schw.pdf
Notes
    Topics