Asymptotic self-similarity of entire solutions for nonlinear elliptic equations

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Speaker: 
Soo-Hyun Bae
Institution: 
Hanbat National University (Daejeon, Korea)
Time: 
Fri, 10/12/2018 - 3:00pm
Location: 
RH 440R

I consider solutions with asymptotic self-similarity. The behavior shows an invariance which comes naturally from nonlinearity. The basic model is Lane-Emden equation. Solution structures depend on the dimension as well as the exponent describing the nonlinearity. More generally, I will explain the corresponding result for quasilinear equations in the radial setting.