| Title: On the dimension of a certain measure
In this survey we study the Hausdorff dimension of a measure $mu$ related to a positive weak solution, $u$,
of a certain partial differential equation in $Omegacap N$ where $Omegasubsetmathbb{C}$ is a bounded simply
connected domain and $N$ is a neighborhood of $partialOmega$. $u$ has continuous boundary value $0$ on $partialOmega$ and is a weak solution to
[
sumlimits_{i,j=1}^{2}frac{partial}{partial x_{i}}(f_{eta_{i}eta_{j}}(
abla u(z)), u_{x_{j}}(z))=0, , mbox{in}, , Omegacap N.
]
Also $f(eta)$, $etainmathbb{C}$ is homogeneous of degree $p$ and $
abla f$ is $delta-$monotone on $mathbb{C}$ for some $0
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