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.