Symmetries, Group action and their effect on concentration of Solutions for a class of Semilinear Elliptic Differential Equations
Prof. P.N. Srikanth
TIFR-CAM, Bangalore
| Speaker |
Prof. P.N. Srikanth
TIFR-CAM, Bangalore
|
|---|---|
| When |
Oct 31, 2017
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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Abstract: We consider the classical problem,
\(-\Delta u\) = \(|u|^{p-2}u\) + \(\lambda u\ \text{in}\ \Omega\)
\(\\\)
\(u\)=\(0\ \text{on}\ \partial \Omega\)
where \(\Omega\) is a bounded open set in \(\mathbb{R}^n\) and by imposing on \(\Omega\) and \(u\), certain
symmetry conditions, we show existence of concentrating solutions with
different behaviors.