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.
Citation
Philippe Delanoë. "Perturbing fully nonlinear second order elliptic equations." Topol. Methods Nonlinear Anal. 20 (1) 63 - 75, 2002.
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