Mathematics – Analysis of PDEs
Scientific paper
2009-09-21
Mathematics
Analysis of PDEs
30 pages, 1 figure
Scientific paper
In this article we prove that solutions of singular fully nonlinear partial
differential equations are $C^{1,\beta}$. We also prove the simplicity of the
principal eigenvalues for the Dirichlet Problem associated to these operators
using that regularity, a strict comparison principle and Sard's theorem.
Birindelli Isabeau
Demengel Francoise
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