### 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.

#### Article information

Source
Adv. Differential Equations, Volume 6, Number 8 (2001), 959-986.

Dates
First available in Project Euclid: 2 January 2013

Mathematical Reviews number (MathSciNet)
MR1828500

Zentralblatt MATH identifier
1140.35426

#### Citation

Montefusco, Eugenio; Pucci, Patrizia. Existence of radial ground states for quasilinear elliptic equations. Adv. Differential Equations 6 (2001), no. 8, 959--986. https://projecteuclid.org/euclid.ade/1357140554