Second-order estimates for boundary blow-up solutions of special elliptic equations
ANEDDA, CLAUDIA;
2006-01-01
Abstract
We find a second order approximation of the boundary blow-up solution of the equation \Delta u = e^{u |u|^{\beta -1}}, with \beta > 0, in a bounded smooth domain \Omega \subset R^N. Furthermore, we consider the equation \Delta u = e^{u+e^u}. In both cases we underline the effect of the geometry of the domain in the asymptotic expansion of the solutions near the boundary \partial \Omega.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.