Second-order boundary estimates for solutions to singular elliptic equations in borderline cases

Let $Omegasubset R^N$ be a bounded smooth domain. We investigate the effect of the mean curvature of the boundary $partialOmega$ on the behaviour of the solution to the homogeneous Dirichlet boundary value problem for the equation $Delta u+f(u)=0$. Under appropriate growth conditions on $f(t)$ a...

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Bibliographic Details
Main Authors: Claudia Anedda, Giovanni Porru
Format: Article
Language:English
Published: Texas State University 2011-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/51/abstr.html