Mathematics – Analysis of PDEs
Scientific paper
2007-06-26
Mathematics
Analysis of PDEs
Scientific paper
We study the regularity and behavior at the origin of solutions to the two-dimensional degenerate Monge-Ampere equation with homogeneous right hand side of degree alpha, alpha>-2. We show that when alpha > 0, solutions admit only two possible behaviors near the origin, radial and non-radial. We also show that the radial behavior is unstable. For alpha<0 we prove that solutions admit only the radial behavior near the origin.
Daskalopoulos Pangiota
Savin Ovidiu
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