A Neumann eigenvalue problem for fully nonlinear operators

Details A Neumann eigenvalue problem for fully nonlinear operators A Neumann eigenvalue problem for fully nonlinear operators

2010-03-10

arxiv.org/abs/1003.2115v2

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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

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