## Differential and Integral Equations

### Asymptotic estimates and convexity of large solutions to semilinear elliptic equations

#### Abstract

We investigate explosive solutions of the equation $\Delta u=f(u)$ in a bounded convex domain $D$. We find some asymptotic estimates and prove the log-convexity of the solution $u(x)$ under suitable conditions on $f$.

#### Article information

Source
Differential Integral Equations, Volume 10, Number 2 (1997), 219-229.

Dates
First available in Project Euclid: 2 May 2013