Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
ergodique paires pour des opérateurs de type Pseu Pucci
Résumé
We study the ergodic problem for fully nonlinear operators which may be singular or degenerate when at least one of the compoenents of the gradient of solutions vanishes. We prove the convergence of both explosive solutions and solutions of Dirichlet problems for approximating equations. We further characterize the ergodic constant as the infimum of constants for which there exist bounded sub solutions. As intermediate results of independent interest, we prove a priori Lipschitz estimates depending only on the norm of the zeroth order term, and a comparison principle for equations having no zero order terms.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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