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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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