Principal eigenvalues for Isaacs operators with Neumann boundary conditions

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.

22 pages

References in corpus (3)

• Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator
• Local $C^{0,\alpha }$ Estimates for Viscosity Solutions of Neumann-type Boundary Value Problems
• The Neumann problem for singular fully nonlinear operators