Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations
Monica Marras, Giovanni Porru · DOAJ (DOAJ: Directory of Open Access Journals) · 2011
We investigate boundary blow-up solutions of the p-Laplace equation $Delta_p u=f(u)$, $p>1$, in a bounded smooth domain $Omegasubset R^N$. 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 $partialOmega$, and a uniqueness result.