Boundary Harnack inequalities for operators of p-Laplace type in Reifenberg flat domains
2008 (English)In: Perspectives in Partial Differential Equations, Harmonic Analysis and Applications: A Volume in Honor of Vladimir G. Maz'ya's 70th Birthday / [ed] Dorina Mitrea and Marius Mitrea, American Mathematical Society (AMS), 2008, Vol. 79, 229-266 p.Chapter in book (Refereed)
In this paper we highlight a set of techniques that recently have been used to establish boundary Harnack inequalities for p-harmonic functions vanishing on a portion of the boundary of a domain which is ‘flat’ in the sense that its boundary is well-approximated by hyperplanes. Moreover, we use these techniques to establish new results concerning boundary Harnack inequalities and the Martin boundary problem for operators of p-Laplace type with variable coefficients in Reifenberg flat domains.
Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2008. Vol. 79, 229-266 p.
, Proceedings of Symposia in Pure Mathematics, ISSN 0082-0717 ; 79
boundary Harnack inequality, p-harmonic function, A-harmonic function, variable coefficients, Reifenberg flat domain, Martin boundary
Research subject Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-31120ISBN: 978-0-8218-4424-3OAI: oai:DiVA.org:umu-31120DiVA: diva2:291048