Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
Antonio M. Greco, Giovanni Porru · Differential and Integral Equations · 1997
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 $f$.