FULLY NONLINEAR SECOND ORDER ELLIPTIC EQUATIONS

Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations.. Francesca da Lio,

We conclude this short (and very vague) presentation of the paper by mentioning that, if we are able to analyse the boundary behaviour of the sub- and supersolutions in a rather

if P f is the Yamabe operator, we show the following result: assume that there exists a closed simply connected non-spin manifold M such that the mass is non-negative for every metric

In this paper, we propose a deterministic control interpretation, via “two persons repeated games”, for a broad class of fully nonlinear equations of elliptic or parabolic type with

Section 2 is devoted to the study of the solvability of the Dirichlet problem for fully nonlinear ODE on a finite interval as well as some estimates of solutions of fully

JENSEN, Uniqueness Criteria for Viscosity Solutions of Fully Nonlinear Elliptic Partial Differential Equations, preprint. [6]

The first theorem, Theorem 2.1, is a Harnack inequality for the level sets, the second is an improvement of flatness (Theorem 2.2) and the third theorem gives the equation for

This was done by Aleksandrov [ 1 ]5g in 1958 and led to some remarkable results for linear equation which 20 years later turned out to constitute the basis of the