Principal eigenvalues for Isaacs operators with Neumann boundary conditions

Details Principal eigenvalues for Isaacs operators with Neumann boundary conditions Principal eigenvalues for Isaacs operators with Neumann boundary conditions

2008-02-04

arxiv.org/abs/0802.0452v3

Mathematics

Analysis of PDEs

22 pages

Scientific paper

In this paper we show the existence of two principal eigenvalues associated
to general non-convex fully nonlinear elliptic operators with Neumann boundary
conditions in a bounded $C^2$ domain. We study these objects and we establish
some of their basic properties. Finally, Lipschitz regularity, uniqueness and
existence results for the solution of the Neumann problem are given.

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