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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Patrizi, S. Principal Eigenvalues for Isaacs Operators with Neumann Boundary Conditions. Nonlinear differ. equ. appl. 16, 79–107 (2009). https://doi.org/10.1007/s00030-008-7042-z
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DOI: https://doi.org/10.1007/s00030-008-7042-z