Comparison principle and Liouville type results for singular fully nonlinear operators.

This paper describes a fairly simple method for proving the classical solvability of certain fully nonlinear second order elliptic equations, provided the coefficient of the

- A uniqueness result for viscosity solutions of second order fully-nonlinear partial differential equations, Proc. - On the equivalence of viscos- ity solutions and

Its role is crucial to establish spectral estimates from above and below of the function Cϕ/ |∇ c ϕ | 2 , that we need to state our main result

(vi) Localization of critical point [16]: here we will explain how to use our main result to study the star-shapedness property of the level sets of solutions to various p.d.e.. in

The aim of this paper is to prove the Liouville property for nonnegative viscosity supersolutions of a class of fully nonlinear uniformly elliptic equations in the

Analogous problems were studied by Crandall, Kocan, Lions, and Swiech in [9] for the case of Pucci’s operators, by Ishii and Souganidis, [16] for operators singular or degenerate

Lions, Viscosity solutions of Fully- Nonlinear Second Order Elliptic Partial Differential Equations J. Yoshimura, Demi-eigen values for uniformly elliptic Isaacs operators

We prove here the existence of boundary blow up solutions for fully nonlinear equations in general domains, for a nonlinearity satisfying Keller- Osserman type condition.. If