Second-order estimates for boundary blowup solutions of special elliptic equations

We find a second-order approximation of the boundary blowup solution of the equation Δu=eu|u|β−1, with β>0, in a bounded smooth domain Ω⊂RN. Furthermore, we consider the equation Δu=eu+eu. In both cases, we underline the effect of the geometry of the domain in the asympto...

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Bibliographic Details
Main Authors: Giovanni Porru, Anna Buttu, Claudia Anedda
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP/2006/45859