## Differential and Integral Equations

### Uniqueness of positive radial solutions of $\Delta u+K(\vert x\vert )\gamma(u)=0$

#### Abstract

We investigate the global structure of positive radial solutions of a semilinear elliptic equation $\Delta u+K(|x|)\gamma (u)=0$, and study the uniqueness of ground state solutions of this equation. Our discussion is based on a Pohozaev-type identity and some detailed investigation for the oscillatory and asymptotic behavior of the solutions and their variational functions.

#### Article information

Source
Differential Integral Equations, Volume 11, Number 4 (1998), 663-678.

Dates
First available in Project Euclid: 30 April 2013

Erbe, Lynn; Tang, Moxun. Uniqueness of positive radial solutions of $\Delta u+K(\vert x\vert )\gamma(u)=0$. Differential Integral Equations 11 (1998), no. 4, 663--678. https://projecteuclid.org/euclid.die/1367341039