Positive global solutions of a nonhomogeneous semilinear elliptic equation
We consider positive global solutions of the nonhomogeneous, semilinear, elliptic equation \(\Delta u+u^ 2+\theta \phi =0\) in \(R^ n\), where \(\phi\) is a given function and \(\theta\) a positive parameter. By using implicit function theory, variational analysis and a phase plane technique we investigate, under various assumptions on \(\phi\), the structure of the solution set \((\theta,u_{\theta})\).
scientific article; zbMATH DE number 4082087