Murat Akman

activity

20132026

most citedRectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries

24 citations · 42 across the 15 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.AP2015★ 1 cited

On the absolute continuity of p-harmonic measure and surface measure in Reifenberg flat domains

Murat Akman

In this paper, we study the set of absolute continuity of p-harmonic measure, $μ$ , and $(n - 1) -$ dimensional Hausdorff measure, $H^{n - 1}$ , on locally flat domains in $\math…

math.AP2015

$σ$ -finiteness of elliptic measures for quasilinear elliptic PDE in space

Murat Akman, John Lewis, Andrew Vogel

In this paper we study the Hausdorff dimension of a elliptic measure $μ_{f}$ in space associated to a positive weak solution to a certain quasilinear elliptic PDE in an open subset…

math.CA2015★ 24 cited

Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries

Murat Akman, Matthew Badger, Steve Hofmann +1

Let $Ω \subset R^{n + 1}$ , $n \geq 2$ , be 1-sided NTA domain (aka uniform domain), i.e. a domain which satisfies interior Corkscrew and Harnack Chain conditions, and assume th…

On the absolute continuity of p-harmonic measure and surface measure in Reifenberg flat domains

σ-finiteness of elliptic measures for quasilinear elliptic PDE in space

Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries

$σ$ -finiteness of elliptic measures for quasilinear elliptic PDE in space