M. Ghergu

will speak on

Exact behaviour of positive solutions near isolated singularity in a logarithmic setting

Time: 4:15PM
Date: Tue 28th November 2017
Location: SCN 125 [map]

Abstract: We study the exact behaviour around the isolated singularity at
the origin for $C^2$-positive solutions of $-\Delta u=u^\alpha |\log
u|^\beta$ in a punctured neighbourhood of the origin of $R^n$, $n\ge 3$.
This talk discusses first the power case $\beta =0$ then underlines the
difficulties in dealing with logarithmic terms and presents further
directions of investigation. This is based on a joint work with Henrik
Shahgholian (KTH, Stockholm) and Sunghan Kim (National University of Seoul,
Korea).

(This talk is part of the Analysis series.)

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