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Regularity of the p-Poisson equation in the plane
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0003-4309-9242
2017 (English)In: Journal d'Analyse Mathematique, ISSN 0021-7670, E-ISSN 1565-8538, Vol. 132, no 1, p. 217-228Article in journal (Refereed) Published
Abstract [en]

We study the regularity of the p-Poisson equation 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.

Place, publisher, year, edition, pages
Springer New York LLC , 2017. Vol. 132, no 1, p. 217-228
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Mathematics
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URN: urn:nbn:se:kth:diva-216478DOI: 10.1007/s11854-017-0019-2ISI: 000404532200008Scopus ID: 2-s2.0-85021306620OAI: oai:DiVA.org:kth-216478DiVA, id: diva2:1162022
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QC 20171201

Available from: 2017-12-01 Created: 2017-12-01 Last updated: 2017-12-01Bibliographically approved

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Lindgren, Erik

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