Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 119, pp. 1-10.

Title: Estimates and uniqueness for boundary blow-up solutions of
       p-Laplace equations

Authors: Monica Marras  (Univ. di Cagliari, Italy)
         Giovanni Porru (Univ. di Cagliari, Italy)

Abstract:
 We investigate boundary blow-up solutions of the  p-Laplace
 equation $\Delta_p u=f(u)$, $p>1$, in a bounded smooth
 domain $\Omega\subset R^N$. Under appropriate conditions on the
 growth of $f(t)$ as $t$ approaches infinity, we find an estimate
 of the solution $u(x)$ as $x$ approaches $\partial\Omega$, and
 a uniqueness result.

Submitted November 21, 2010. Published September 15, 2011.
Math Subject Classifications: 35B40, 35B44, 35J92.
Key Words: p-Laplace equations; large equations; uniqueness;
           second order boundary approximation.