Boundary Value Problems
Volume 2006 (2006), Article ID 45859, 12 pages
Second-order estimates for boundary blowup solutions of special elliptic equations
Dipartimento di Matematica, Universitá di Cagliari, Via Ospedale 72, Cagliari 09124, Italy
Received 20 October 2005; Accepted 7 November 2005
Copyright © 2006 Claudia Anedda et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We find a second-order approximation of the boundary blowup
solution of the equation , with , in a bounded smooth domain . Furthermore, we consider the equation . In both cases, we underline the effect of the geometry of the domain
in the asymptotic expansion of the solutions near the boundary .