A Neumann eigenvalue problem for fully nonlinear operators

preprint2010arXivOpen access

Abstract

In this paper we study the asymptotic behavior of the principal eigenvalues associated to the Pucci operator in bounded domain ΩΩ with Neumann/Robin boundary condition i.e. ∂nu=αu\partial_n u=αu when αα tends to infinity. This study requires Lipschitz estimates up to the boundary that are interesting in their own rights.

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