Second order estimates for boundary blow-up solutions of elliptic equations [chapter]

2007 AIMS Proceedings 2007  
We investigate blow-up solutions of the equation ∆u = f (u) in a bounded smooth domain Ω ⊂ R N . Under appropriate growth conditions on f (t) as t goes to infinity we show how the mean curvature of the boundary ∂Ω appears in the second order term of the asymptotic expansion of the solution u(x) as x goes to ∂Ω. 2000 Mathematics Subject Classification. Primary: 35J25; Secondary: 35B05, 35B40.
doi:10.3934/proc.2007.2007.54 fatcat:r3inekpicjbkbdr7qmk5q6yjkm