Regularity of the p-Poissson Equation in the Plane
Journal article, Peer reviewed
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2452208Utgivelsesdato
2017Metadata
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- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38672]
Sammendrag
We study the regularity of the p-Poisson equation
Δpu=h,h∈Lq,
Δpu=h,h∈Lq,
in the plane. In the case p > 2 and 2 < q < ∞, we obtain the sharp Hölder exponent for the gradient. In the other cases, we come arbitrarily close to the sharp exponent.