On the Dimension of a Certain Measure Arising from a Quasilinear Elliptic Partial Differential Equation

On the Dimension of a Certain Measure Arising from a Quasilinear Elliptic Partial Differential Equation

We study the Hausdorff dimension of a certain Borel measure associated to a positive weak solution of a certain quasilinear elliptic partial differential equation in a simply connected domain in the plane. We also assume that the solution vanishes on the boundary of the domain. Then it is shown that...

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Bibliographic Details
Main Author: Akman, Murat
Format: Others
Published: UKnowledge 2014
Subjects:
Hausdorff dimension
Harmonic measure
P-Harmonic measure
Hausdorff measure
Quasiregular mapping
Analysis
Other Mathematics
Online Access:http://uknowledge.uky.edu/math_etds/12
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1012&context=math_etds

Internet

http://uknowledge.uky.edu/math_etds/12
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1012&context=math_etds

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