Perturbing fully nonlinear second order elliptic equations

Philippe Delanoë

DOI: http://dx.doi.org/10.12775/TMNA.2002.025

Abstract


We present two types of perturbations with reverse effects
on some scalar fully nonlinear second order elliptic differential
operators: on the other hand, first order perturbations which destroy the global
solvability of the Dirichlet problem, in smooth bounded domains of $\mathbb R^n$;
on the other hand, an integral perturbation which restore the local solvability,
on compact connected manifolds without boundary.

Keywords


Gradient perturbation; degenerate elliptic; ill-posed; integral perturbation

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