Perturbing fully nonlinear second order elliptic equations
KeywordsGradient perturbation, degenerate elliptic, ill-posed, integral perturbation
AbstractWe 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.
How to Cite
DELANOË, Philippe. Perturbing fully nonlinear second order elliptic equations. Topological Methods in Nonlinear Analysis [online]. 1 September 2002, T. 20, nr 1, s. 63–75. [accessed 2.2.2023].
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