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On the regularity of solutions of the inhomogeneous infinity laplace equation
Department of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, NO-7491 Trondheim, Norway .ORCID iD: 0000-0003-4309-9242
2014 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 142, no 1, 277-288 p.Article in journal (Refereed) Published
Abstract [en]

We study the inhomogeneous infinity Laplace equation and prove that for bounded and continuous inhomogeneities, any blow-up is linear but not necessarily unique. If, in addition, the inhomogeneity is assumed to be C-1, then we prove that any solution is differentiable, i.e., that any blow-up is unique.

Place, publisher, year, edition, pages
2014. Vol. 142, no 1, 277-288 p.
Keyword [en]
Harmonic-Functions, 2 Dimensions
National Category
URN: urn:nbn:se:kth:diva-136470DOI: 10.1090/S0002-9939-2013-12180-5ISI: 000326580100028ScopusID: 2-s2.0-84886301117OAI: diva2:676484

QC 20131206

Available from: 2013-12-06 Created: 2013-12-05 Last updated: 2013-12-06Bibliographically approved

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Lindgren, Erik
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