Change search
ReferencesLink to record
Permanent link

Direct link
The boundary Harnack inequality for variable exponent p-Laplacian, Carleson estimates, barrier functions and p(⋅)-harmonic measures
Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Annali di Matematica Pura ed Applicata, ISSN 0373-3114, E-ISSN 1618-1891, Vol. 195, no 2, 623-658 p.Article in journal (Refereed) Published
Abstract [en]

We investigate various boundary decay estimates for p(⋅)-harmonic functions. For domains in Rn,n≥2satisfying the ball condition (C1,1-domains), we show the boundary Harnack inequality for p(⋅)-harmonic functions under the assumption that the variable exponent p is a bounded Lipschitz function. The proof involves barrier functions and chaining arguments. Moreover, we prove a Carleson-type estimate for p(⋅)-harmonic functions in NTA domains in Rn and provide lower and upper growth estimates and a doubling property for a p(⋅)-harmonic measure.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 195, no 2, 623-658 p.
Keyword [en]
Ball condition, Boundary Harnack inequality, Harmonic measure, NTA domain, Nonstandard growth equation, p-harmonic
National Category
Mathematical Analysis
URN: urn:nbn:se:umu:diva-89627DOI: 10.1007/s10231-015-0481-3ISI: 000373086500019OAI: diva2:722375


Available from: 2014-06-07 Created: 2014-06-07 Last updated: 2016-05-20Bibliographically approved

Open Access in DiVA

fulltext(1782 kB)18 downloads
File information
File name FULLTEXT03.pdfFile size 1782 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Lundström, Niklas L.P.
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
Annali di Matematica Pura ed Applicata
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 94 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 143 hits
ReferencesLink to record
Permanent link

Direct link