Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in \(\mathbb R^n\) (Q1880765)

The author studies the elliptic equation \[ \Delta u+K(x)u^p=0, (1), x\in \mathbb{R}^n \] where \(n\geq 3\), \(p>1\) and \(K\) is a given locally Hölder continuous function in \(\mathbb{R}^n\setminus\{0\}\). The purpose of the author is to study the asymptotic behaviour of positive entire solutions and to establish infinite multiplicity for (1).