Singular solutions of fully nonlinear elliptic equations and applications

Our results are based upon a priori estimates of solutions of (E) and existence, non-existence and uniqueness results for solutions of some nonlinear elliptic equations on

V´eron, The precise boundary trace of positive solutions of the equation ∆u = u q in the supercritical case, Perspectives in non- linear partial differential equations,

Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations.. Marie-Françoise Bidaut-Veron, Rouba Borghol,

In the general case, assuming that Ω possesses a tangent cone at every boundary point and q is subcritical, we prove an existence and uniqueness result for positive solutions

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

In this paper we prove the existence of a generalized eigenvalue and a cor- responding eigenfunction for fully nonlinear operators singular or degenerate, homogeneous of degree 1 + α,

Vladut in [15] have proved C 2 regularity of radial solutions for a more general class of fully nonlinear operators uniformly elliptic.. In particular for N ≤ 3 the solutions are C

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