New results for p harmonic functions
2011 (English)In: Pure and Applied Mathematics Quarterly, ISSN 1558-8599, E-ISSN 1558-8602, Vol. 7, no 2, 345-363 p.Article in journal (Refereed) Published
In this paper we first discuss new results of the authors concerning a boundary Harnack inequality and Holder continuity up to the boundary for the ratio of two positive pharmonic functions, 1 < p < infinity, which vanish on a portion of a Lipschitz domain. Second we discuss applications of these results to the Martin boundary problem for p harmonic functions and to certain boundary regularity-free boundary problems.
Place, publisher, year, edition, pages
International Press of Boston , 2011. Vol. 7, no 2, 345-363 p.
boundary Harnack inequality, p harmonic function, Lipschitz domain, Martin boundary, free boundary
IdentifiersURN: urn:nbn:se:umu:diva-104579DOI: 10.4310/PAMQ.2011.v7.n2.a4ISI: 000274659200004OAI: oai:DiVA.org:umu-104579DiVA: diva2:820850