Perturbing fully nonlinear second order elliptic equations
Keywords
Gradient perturbation, degenerate elliptic, ill-posed, integral perturbationAbstract
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.Downloads
Published
2002-09-01
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1.
DELANOË, Philippe. Perturbing fully nonlinear second order elliptic equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2002. Vol. 20, no. 1, pp. 63 - 75. [Accessed 29 March 2024].
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