Mathematics – Analysis of PDEs
Scientific paper
2006-09-21
Mathematics
Analysis of PDEs
10 pages, 0 figures
Scientific paper
In this paper we prove existence of (viscosity) solutions of Dirichlet problems concerning fully nonlinear elliptic operator, which are either degenerate or singular when the gradient of the solution is zero. For this class of operators it is possible to extend the concept of eigenvalue, this paper concerns the cases when the inf of the principal eigenvalues is positive i.e. when both the maximum and the minimum principle holds.
Birindelli Isabeau
Demengel Francoise
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