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# 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 Oct 31, 2017 from 04:00 PM to 05:00 PM LH 006 vCal iCal

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.

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