Principal eigenvalues for Isaacs operators with Neumann boundary conditions

Stefania Patrizi

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arXiv · 0802.0452

Principal eigenvalues for Isaacs operators with Neumann boundary conditions

Stefania Patrizi

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Abstract

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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Stefania Patrizi. 2009-12-10. Principal eigenvalues for Isaacs operators with Neumann boundary conditions. https://arxiv.org/abs/0802.0452

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