A Neumann eigenvalue problem for fully nonlinear operators
Isabeau Birindelli, Stefania Patrizi · arXiv (Cornell University) · 2010
In this paper we study the asymptotic behavior of the principal eigenvalues associated to the Pucci operator in bounded domain $Ω$ with Neumann/Robin boundary condition i.e. $\partial_n u=αu$ when $α$ tends to infinity. This study requires Lipschitz estimates up to the boundary that are interesting in their own rights.