Special Session 47: 

Partial separation of positive entire solutions for semilinear elliptic equations

Soohyun Bae
Hanbat National University
Korea
Co-Author(s):    
Abstract:
We study partial separation of positive solutions for semilinear elliptic equations. Under some integral conditions on indefinite coefficient in the equations, we show that positive solutions are separated if the uniform norms are sufficiently small. The asymptotic behavior of the solutions is the main tool to verify the phenomena.