Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms
Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms
We consider the structure and the stability of positive radial solutions of a semilinear inhomogeneous elliptic equation with multiple growth terms \begin{document}$ \Delta u+\sum\limits_{i = 1}^{k}K_i(|x|)u^{p_i}+\mu f(|x|) = 0, \quad x\in\mathbb{R}^n, $\end{document} which is a generalization of Matukuma's equation describing the dynamics of a globular cluster of stars. Equations similar …