Second order estimates for boundary blow-up solutions of elliptic equations with an additive gradient term

作者：Giarrusso Ester^*; Porru Giovanni

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 129: 160-172.

DOI：10.1016/j.na.2015.09.008

• Blow-up solutions
• Quasilinear elliptic equations with
• additive gradient term
• Second order effect

Let Omega subset of R-N be a bounded smooth domain and let 0 <= l <= 1, p > 1. We investigate the effect of the mean curvature of the boundary partial derivative Omega on the behavior of the solution to the problem Delta u - l vertical bar Du vertical bar 2p/p+1, = u(p) in Omega, u = infinity on partial derivative Omega. We find an asymptotic expansion up to the second order of the solution u in terms of the distance from x to the boundary partial derivative Omega.

• 出版日期2015-12