Existence of radial ground states for quasilinear elliptic equations

Abstract

Existence of nontrivial, nonnegative radial solutions of \newline quasilinear equations $-{\hbox{div}}(A(|{\nabla} u|) {\nabla} u)=f(u)$ in $ {\mathbb R}^n$ is proved under general assumptions on the nonlinearity $f$ and the function $A$, without requiring homogeneity.