Perturbing fully nonlinear second order elliptic equations | Zendy

Philippe Delanoë | Zendy

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Perturbing fully nonlinear second order elliptic equations

Author(s) -

Philippe Delanoë

Publication year - 2002

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2002.025

Subject(s) - mathematics , bounded function , nonlinear system , perturbation (astronomy) , order (exchange) , mathematical analysis , dirichlet problem , dirichlet distribution , boundary value problem , dirichlet boundary condition , scalar (mathematics) , pure mathematics , geometry , physics , finance , quantum mechanics , economics

We present two types of perturbations with reverse effectson some scalar fully nonlinear second order elliptic differentialoperators: 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.

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